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Paper Citation Record · LEDGER

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation

As of 9 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2507.01534.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.01534 v1

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:11:04.453912Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-10T23:22:41.766746Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-10T23:27:38.220186Z

Reference resolution

50 of 50 outbound references displayed

  • verified exact13
  • verified fuzzy29
  • unresolved8
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation a36a83a8-4177-4b39-8091-7030e8bccf41 · outbound

This paper cites Adams and John J.F.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Adams and John J.F

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:16.990782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 3f2a1b47-78d0-496c-9ec7-6a358a46d313 · outbound

This paper cites The Yang-Mills Equations over Riemann Surfaces.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation The Yang-Mills Equations over Riemann Surfaces

Reference 2

Resolution
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raw_fallback, observed 2026-08-06T21:11:16.981950Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.305024Z digest=sha256:c54b83c5e3733644b6803ddd465dba4709b6a654f61f0255d1b786aded004529

Observation b677361a-85bd-4c01-a7b8-16fec5d19e2f · outbound

This paper cites The supercritical deformed Hermitian Yang--Mills equation on compact projective manifolds.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation The supercritical deformed Hermitian Yang--Mills equation on compact projective manifolds

Reference 3

Resolution
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local_arxiv, observed 2026-08-06T21:11:04.826558Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.308286Z digest=sha256:481c01150dd9bf8f40b5f4389f52f6f0dd42c9813156371dc7731091e7fbd364

Observation 2042bbca-cdc0-4ff3-a8da-a4b31a4b1036 · outbound

This paper cites Ballal and Vamsi Pingali.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Ballal and Vamsi Pingali

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:16.972492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.312082Z digest=sha256:526583f28b5b9b9dd2e824f19afc88ff3b183e6f4af514fcdd46c28546ae04ca

Observation 150b15e4-5c3b-40ef-bc26-23f35586e6a8 · outbound

This paper cites Polystable Bundles and Representations of their Automorphisms.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Polystable Bundles and Representations of their Automorphisms

Reference 5

Resolution
verified exact
doi, observed 2026-08-06T21:11:04.554718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.315114Z digest=sha256:fff4a83dec482aa416b052b62ffa17ae179a1d3bb39376b3b588b54b053960d6

Observation 3e53044a-4bc8-4d98-bde3-13b54092c237 · outbound

This paper cites The J-Equation and the Supercritical Deformed Hermitian-Yang-Mills Equation.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation The J-Equation and the Supercritical Deformed Hermitian-Yang-Mills Equation

Reference 6

Resolution
verified exact
doi, observed 2026-08-06T21:11:04.544947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.318153Z digest=sha256:eb533f2d93174a1a8f22bbc700d6ac9713e5eeca5d2bb5b9ea48afa18900e9f2

Observation 1ec5b7aa-6d16-49f9-b715-553f28986759 · outbound

This paper cites Calabi flow, Geodesic Rays, and Uniqueness of Constant Scalar Curvature K¨ ahler Metrics.Annals of Mathematics , 180(2):407–454, 2014.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Calabi flow, Geodesic Rays, and Uniqueness of Constant Scalar Curvature K¨ ahler Metrics.Annals of Mathematics , 180(2):407–454, 2014

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.321770Z digest=sha256:4341c5c0f254d63ff83488d22b9be4c11d4aed3b4d90e7eaa32c794e29a75b6c

Observation 4ad3f37a-c176-4b1e-9350-94b500b9ef73 · outbound

This paper cites A Nakai-Moishezon Type Criterion for Supercritical Deformed Hermitian-Yang-Mills Equation.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation A Nakai-Moishezon Type Criterion for Supercritical Deformed Hermitian-Yang-Mills Equation

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:16.951910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.324366Z digest=sha256:bbbf40d4b1faec8833262b2407ed9110d5774256a772aed8aa888b02f947ed6e

Observation acb86ee8-7551-403d-bdb8-9eb62d8334ea · outbound

This paper cites Semi-stability and local wall-crossing for hermitian Yang-Mills connections.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Semi-stability and local wall-crossing for hermitian Yang-Mills connections

Reference 9

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verified exact
local_arxiv, observed 2026-08-06T21:11:04.812927Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.327113Z digest=sha256:80b3a19c14ea7645ccfeda927a676b03fac94599079489d7be8d19ed20b2d5f7

Observation ab8dc576-aad0-4126-9ea8-05fc113ceed0 · outbound

This paper cites Collins, Adam Jacob, and Shing-Tung Yau.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Collins, Adam Jacob, and Shing-Tung Yau

Reference 10

Resolution
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raw_fallback, observed 2026-08-06T21:11:16.942328Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.330166Z digest=sha256:167118f0e1e09662d83ce6e4d2ba135a33934db9efd44c256a98128a2e09d20f

Observation 4605aeb9-dba4-4204-a95e-2470f62c7bc6 · outbound

This paper cites Collins and Yun Shi.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Collins and Yun Shi

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:16.932085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.332776Z digest=sha256:6c4f71d22adbbb18c905a6c2af66ca5fb9feeda0789450d812f5f35e426ce6e8

Observation 1c63f834-44b1-4b40-9c8d-d697c2ab387d · outbound

This paper cites Collins and Shing-Tung Yau.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Collins and Shing-Tung Yau

Reference 12

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:11:04.336008Z digest=sha256:7dcd63f8c9e628512f831e4a6d2512b7bac4013d518371fa4197431cfdebe6ed

Observation b517a39e-b544-4877-81c7-851980584900 · outbound

This paper cites Datar and Vamsi Pritham Pingali.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Datar and Vamsi Pritham Pingali

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:16.922324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.338812Z digest=sha256:351449f95e31500f0520b08d20f92a2517e57739f3875257f2080736cc0295d5

Observation 170a146c-a01f-44fb-9483-9b18fd6c1dac · outbound

This paper cites Continuity of HYM Connections with Respect to Metric Variations.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Continuity of HYM Connections with Respect to Metric Variations

Reference 14

Resolution
verified exact
doi, observed 2026-08-06T21:11:04.522967Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.345021Z digest=sha256:63d1a13cca42fd1be4f27aa70896b9164f8df6d117f823f834790d059ce32f2b

Observation 3836b19e-355c-4675-a740-73892094fd84 · outbound

This paper cites Polynomial Bridgeland Stability Conditions on the Category of Coherent Sheaves, 2025.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Polynomial Bridgeland Stability Conditions on the Category of Coherent Sheaves, 2025

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:16.905557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.347966Z digest=sha256:93e198730bc8d89249bde569b3320fab5f4f7c49d7982cedb74a4f30027acaaf

Observation 282feb47-3a9f-4cf4-80c1-8492559b7318 · outbound

This paper cites Complex Analytic and Differential Geometry.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Complex Analytic and Differential Geometry

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:16.891259Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.351119Z digest=sha256:0d75afbcab7e1d94b82020fa3625354fd4ca8bc228740acb11e518069458a006

Observation 75ada70c-5b2e-4340-9d1f-eca1adb3ab6e · outbound

This paper cites The Universal Structure of Moment Maps in Complex Geometry, 2024.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation The Universal Structure of Moment Maps in Complex Geometry, 2024

Reference 17

Resolution
verified exact
raw_fallback, observed 2026-08-06T21:11:04.798852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.354009Z digest=sha256:90bcb2fa96b3efc27540a9d942cb09b2e31e240e43f02aeae7b5f8ca46d98105

Observation 1794532f-f3d3-4018-b665-65524242bdd6 · outbound

This paper cites $Z$-critical connections and Bridgeland stability conditions.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation $Z$-critical connections and Bridgeland stability conditions

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T21:11:04.356930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:11:04.356930Z digest=sha256:78e59b7d8d65f19d07d7fb48597739caa8e60ecec01596ad39e4de47eda317a4

Observation 14c79b06-9bc9-411c-96f4-9f32a178ac29 · outbound

This paper cites Donaldson.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Donaldson

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:16.855346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.360261Z digest=sha256:cd670eb40762ed76743b6d6c26ede1446ff8cb31ee3b61ce5c264d1907a4595e

Observation b0bc54a8-c922-41c5-8394-747009a205de · outbound

This paper cites Donaldson.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Donaldson

Reference 20

Resolution
verified exact
doi, observed 2026-08-06T21:11:04.512785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.363380Z digest=sha256:369c5732227367c1c6521ae086fc56d662261efa93563b5513f2b8ac27239eff

Observation 678d7f35-ed79-4c88-bbdb-af544fe31f67 · outbound

This paper cites Donaldson.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Donaldson

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:16.701307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.366459Z digest=sha256:95bf60ec18350e195bf5e067c67a7b94001bc14377067ad9eb190f2cd3eb34a7

Observation b6be0cba-42ec-47cb-b7d3-05735c6c3e76 · outbound

This paper cites Donaldson.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Donaldson

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:05.840285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.369198Z digest=sha256:d640ba7243d8be97a87538d0b7e638a6bcb8015ae24d1b5e554dc012efa46590

Observation 3c7e2fb1-6133-4a35-bd28-c45ca0094a3f · outbound

This paper cites Moduli Spaces of Polarized Algebraic Manifolds and K¨ ahler Metrics.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Moduli Spaces of Polarized Algebraic Manifolds and K¨ ahler Metrics

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:05.469790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.372254Z digest=sha256:5b1f5551acd0191e20b31314e039917b1ff3e8aca9fd8a3d59043895492a4552

Observation db34c212-0e9f-436a-9281-b8fbc0b8013f · outbound

This paper cites Robbin, and Dietmar A.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Robbin, and Dietmar A

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:05.097093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.375483Z digest=sha256:b7e406cf0e29abed0aebdc00ae0e7ffd6afbe0657308d10bc19ee95ab8d4276f

Observation 6e2398b5-66b1-467a-b8e9-95a1901f7664 · outbound

This paper cites Modified pure spinors and mirror symmetry.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Modified pure spinors and mirror symmetry

Reference 25

Resolution
verified exact
doi, observed 2026-08-06T21:11:04.503291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.378723Z digest=sha256:427a978c1679e00b5f6f7af5f0dae820559c5c0e2aeec00a2778d0636429ed2e

Observation 5bd8e9e3-1a74-4e78-9a54-16fe275523af · outbound

This paper cites Complex Geometry: An Introduction.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Complex Geometry: An Introduction

Reference 26

Resolution
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no resolver link, observed 2026-08-06T21:11:04.382286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:11:04.382286Z digest=sha256:01916265b05d63fe9915d015e33f7e06f34686a107958dc47d0985959b70ebc9

Observation edad33af-3a44-4adc-89f0-cef47578fa1d · outbound

This paper cites The Geometry of Moduli Spaces of Sheaves.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation The Geometry of Moduli Spaces of Sheaves

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:05.060384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.385534Z digest=sha256:57add87cc56cf19bce27da196c51007de84501d75742123298598244465c7cd8

Observation fe6546d2-4b22-4e7e-9c51-d9a21833ff01 · outbound

This paper cites $Z$-critical equations for holomorphic vector bundles on K\"ahler surfaces.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation $Z$-critical equations for holomorphic vector bundles on K\"ahler surfaces

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-06T21:11:04.388447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:11:04.388447Z digest=sha256:623a4903d2c7e3935391bffea90f69fd8e5eb0bfdec97ed28aca39ea12ebca7b

Observation b656f701-6878-406b-ae3d-8c054b1765b0 · outbound

This paper cites Differential Geometry of Complex Vector Bundles.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Differential Geometry of Complex Vector Bundles

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:05.025828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.391597Z digest=sha256:0157e9daa982aa1ed5bac11f5a354caa096339809e1e6d4ef6557c4a574f849e

Observation 534ad366-cb2c-45d2-a2c2-cea2824cfefc · outbound

This paper cites New Proof for the Existence of Locally Complete Families of Complex Structures.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation New Proof for the Existence of Locally Complete Families of Complex Structures

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:04.983761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.394326Z digest=sha256:f73014ab94cafcd2d7867bc574644cab1bb96366864334a74e506bdfe88d17be

Observation f2d0fca8-1a6c-4db2-ac25-8c92bbb9b600 · outbound

This paper cites Gradient Flow of the Norm Squared of a Moment Map.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Gradient Flow of the Norm Squared of a Moment Map

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:04.956974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.396910Z digest=sha256:588b36bcae38ec289ba0f0f9c0e24974196a2778bb91d5a70ec4f3f9755ebac3

Observation 64fc218a-8eb4-42f3-adbd-3c7ec911f466 · outbound

This paper cites Einstein Type Metrics and Stability on Vector Bundles.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Einstein Type Metrics and Stability on Vector Bundles

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-06T21:11:04.400336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:11:04.400336Z digest=sha256:4719ce09ac10b0cf53a6bd444a8234aeaafb6c01688085d30d532d25368bb335

Observation 5246d699-9fa7-4334-b713-be8e9297adf3 · outbound

This paper cites From Special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai Transform.Advances in Theoretical and Mathematical Physics, 4:1319–1341, 2000.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation From Special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai Transform.Advances in Theoretical and Mathematical Physics, 4:1319–1341, 2000

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:04.934893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.402978Z digest=sha256:3d9a9825ea92cbbbe7d8251923d8b8b0e895d2fd3e8334a1e7ad826722a35e83

Observation 2bebc3f3-65ae-4b77-8f88-f50e5e297124 · outbound

This paper cites The Universal Kobayashi-Hitchin Correspondence on Hermitian Manifolds.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation The Universal Kobayashi-Hitchin Correspondence on Hermitian Manifolds

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:04.919724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 9d25e0a0-94ca-43e4-80bd-30a6378b4e55 · outbound

This paper cites Nonlinear In- stantons from Supersymmetric p-Branes.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Nonlinear In- stantons from Supersymmetric p-Branes

Reference 35

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source=pdf_text observed=2026-08-06T21:11:04.409538Z digest=sha256:c444795ab7c79b0776810dd118275763ae32327c738879c1d0af92137d08e9f8

Observation 4f9097d1-afa8-4c05-8946-7ec374ba19cd · outbound

This paper cites On the Existence of Special Metrics in Complex Geometry.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation On the Existence of Special Metrics in Complex Geometry

Reference 36

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no resolver link, observed 2026-08-06T21:11:04.412671Z

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source=pdf_text observed=2026-08-06T21:11:04.412671Z digest=sha256:f74ebbaae53f0fae0b34e3a6ef06ce1d01da260d3e45a862eab615783f725cee

Observation c6717bfc-ef2d-4098-aa0a-f18f90815a3e · outbound

This paper cites Variations on stability.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Variations on stability

Reference 37

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verified fuzzy
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Observation 0ae7cfd4-7e59-4477-9e4d-3b8e4c72b1d9 · outbound

This paper cites Moment maps and stability of holomorphic submersions.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Moment maps and stability of holomorphic submersions

Reference 38

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source=pdf_text observed=2026-08-06T21:11:04.418506Z digest=sha256:f6b73e37fa84e9e3b1dfb90c106bd393f116e66f1eeb0bde250ccabf958c5e50

Observation ddf0937f-1843-42c9-bc85-119dfc9d8429 · outbound

This paper cites Constant scalar curvature K\"ahler metrics and semistable vector bundles.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Constant scalar curvature K\"ahler metrics and semistable vector bundles

Reference 39

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verified exact
local_arxiv, observed 2026-08-06T21:11:04.611142Z

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source=pdf_text observed=2026-08-06T21:11:04.421536Z digest=sha256:2ec7f515965a0dbf6dbecee3c33e9df2212a975d1399ea03a4fd11308674ccb4

Observation 21bf9ec0-2f2c-4015-a89e-8e263b8557cf · outbound

This paper cites A vector bundle version of the Monge-Ampere equation.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation A vector bundle version of the Monge-Ampere equation

Reference 40

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.424496Z digest=sha256:4ccf54bf4cf49e56eed87a6fe644a34d0f954ef3f9b1965472f48d6d3b43df83

Observation f40f58d7-8f5c-4036-9d33-d68d7e9a0539 · outbound

This paper cites Polynomial Stability Conditions for Vector Bundles : Positivity, Equivariance and Blow-ups, 2025.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Polynomial Stability Conditions for Vector Bundles : Positivity, Equivariance and Blow-ups, 2025

Reference 41

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.427629Z digest=sha256:9e72b122082b60e6f891d6b625965556d7f3593f994b007ace9adb77ffbccaad

Observation be0caeec-eb96-407e-857f-a61d919fbec8 · outbound

This paper cites Analytic K-semistability and local wall-crossing.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Analytic K-semistability and local wall-crossing

Reference 42

Resolution
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.430683Z digest=sha256:da763ef7a6bcf4d1e508fa74d715975978db0e6781c01256bd51e4f12e10f07b

Observation dacbc57d-39ca-4a14-9618-c59aa3e9bba7 · outbound

This paper cites Nakai-Moishezon Criterions for Complex Hessian Equations, 2020.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Nakai-Moishezon Criterions for Complex Hessian Equations, 2020

Reference 43

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.433870Z digest=sha256:497675ea0e509dfa4d221508f39b2500940115924c0af29381bfa04483c544b3

Observation e91deabd-e5f5-48dd-947c-b7fc287ff1f4 · outbound

This paper cites On the Convergence and Singularities of the J-Flow with Applications to the Mabuchi Energy.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation On the Convergence and Singularities of the J-Flow with Applications to the Mabuchi Energy

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:04.877566Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.436988Z digest=sha256:9e307ea5fe03c163941861cefc3f044457cb9810cae632cf1dd8102813f0fc88

Observation 0531c6b8-541f-4cb1-930e-152e77d2705d · outbound

This paper cites The K¨ ahler-Ricci Flow and K-Polystability.American Journal of Mathe- matics, 132:1077 – 1090, 2008.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation The K¨ ahler-Ricci Flow and K-Polystability.American Journal of Mathe- matics, 132:1077 – 1090, 2008

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:04.866785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.440376Z digest=sha256:8b82eda32a75ba852a93a068caebf2653f57e82a3a7ad27745b82f63cc89fa7b

Observation 07cb6393-1cdb-40db-b5c8-b5d869a9878a · outbound

This paper cites $J$-equation on holomorphic vector bundles.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation $J$-equation on holomorphic vector bundles

Reference 46

Resolution
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source=pdf_text observed=2026-08-06T21:11:04.443730Z digest=sha256:a1c2129de7b52615c1f4cf45475f8b5bdd76a1e0939f4a53bf50f91d1cab397e

Observation 53e0e088-3a26-45e9-8a73-d44a024eaa24 · outbound

This paper cites Uhlenbeck and Shing-Tung Yau.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Uhlenbeck and Shing-Tung Yau

Reference 47

Resolution
verified fuzzy
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Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T21:11:04.447486Z digest=sha256:618028ceb91c871b4c45d58e4b4e18dc7816c90388bb5f224db1ff70805e74b1

Observation 516944c3-37c0-4e90-aaf6-6f548acf0e31 · outbound

This paper cites On The Ricci Curvature of a Compact K¨ ahler Manifold and the Complex Monge-Amp` ere Equation, I*.Communications on Pure and Applied Mathematics , 31:339–411, 1978.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation On The Ricci Curvature of a Compact K¨ ahler Manifold and the Complex Monge-Amp` ere Equation, I*.Communications on Pure and Applied Mathematics , 31:339–411, 1978

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:04.846157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.450363Z digest=sha256:b628c1c234364b14dd5591470c7607edc28ee4bfc47aa9e079722bcc70578a10

Observation 15290257-3ce1-4cfb-b263-e642c1ad6e7f · outbound

This paper cites Ensembles Semi-analytiques.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Ensembles Semi-analytiques

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:11:04.836140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:11:04.453912Z digest=sha256:6d453105940c28fbcb179376e6cf0a855ef93380ea5590840b075a16c62c1377

Observation 039218df-e4ed-41f3-a644-77019221e9eb · outbound

This paper cites an unresolved cited work.

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation Unresolved cited work

Reference 2021

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unresolved
no resolver link, observed 2026-08-06T21:11:04.341938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:11:04.341938Z digest=sha256:1f877f11320525a418fe9b44c484b589c665d8801ae77d59de56a85ffea57c2e

Pith citing papers

Observation ffa93d53-eee0-4f4f-9d35-4ceb2acc298b · inbound

Poisson K-stability and the semiclassical Yau--Tian--Donaldson correspondence cites this paper.

Poisson K-stability and the semiclassical Yau--Tian--Donaldson correspondence Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-07-10T23:27:38.235386Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-10T23:22:41.766746Z digest=sha256:b0ef403ee1e1aa148e6d6dedf385523079a1924c329d0c5959ef6b84738a79bb