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Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces

As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2509.08627.

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pith.paper-citation-record.v1
2509.08627 v1

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measured 29 of 29 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T20:26:21.281362Z

measured 29 of 29 standing notices

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29 of 29 outbound references displayed

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Outbound references

Observation e4e783f7-8059-4922-9c2c-637b2cd450b0 · outbound

This paper cites ´Equations du type Monge-Amp` ere sur les vari´ et´ es k¨ ahleriennes compactes.C.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces ´Equations du type Monge-Amp` ere sur les vari´ et´ es k¨ ahleriennes compactes.C

Reference 1

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source=pdf_text observed=2026-08-04T20:26:21.124476Z digest=sha256:440cefe3874d2c315b216492aa6c0a8a556ffb9f0be07d2e134374478b86c2f7

Observation 07dccd0e-9c6c-4df7-a008-067f81070758 · outbound

This paper cites S´ eparation et propri´ et´ e de Deligne-Mumford des champs de modules d’intersections compl` etes lisses.J.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces S´ eparation et propri´ et´ e de Deligne-Mumford des champs de modules d’intersections compl` etes lisses.J

Reference 2

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source=pdf_text observed=2026-08-04T20:26:21.132968Z digest=sha256:5e35f3a59fa4002bb53f642df89c27c6044f30573b766af15e508c083889b9c0

Observation 4dd30711-cc10-46c9-9828-6c3a9972f305 · outbound

This paper cites an unresolved cited work.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-04T20:26:21.138180Z digest=sha256:83f9c8371edaece2503971f295eab77cd7b29f601ef7b0a219c4f72832643e6e

Observation 4ed0d433-b518-43fe-9c47-07263a7e33da · outbound

This paper cites Berman, S´ ebastien Boucksom, and Mattias Jonsson.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Berman, S´ ebastien Boucksom, and Mattias Jonsson

Reference 4

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source=pdf_text observed=2026-08-04T20:26:21.144449Z digest=sha256:4e03d6f284f8c8e928bc3a13d93d9b17743c4930ad0d9c70a0b20ce965942ca1

Observation 3665adeb-1c27-42eb-80b2-d0935862ae5a · outbound

This paper cites Hacon, and James McKernan.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Hacon, and James McKernan

Reference 5

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source=pdf_text observed=2026-08-04T20:26:21.149975Z digest=sha256:49c7ba9f1923af11bec908eff7712287b09088277a68c1e943b292b8501239b2

Observation 4ea5fbf7-1ac2-4bff-a4fd-0d5eca7a96bc · outbound

This paper cites Uniqueness of K-polystable degenerations of Fano varieties.Ann.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Uniqueness of K-polystable degenerations of Fano varieties.Ann

Reference 6

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source=pdf_text observed=2026-08-04T20:26:21.157272Z digest=sha256:0f42648ac7151de95a13603a94d10527c4e180c044bd3ec985a5ab163d40be18

Observation 834e79cd-3f42-41af-b030-5ae760fe2387 · outbound

This paper cites Dynamic alpha-invariants of del Pezzo surfaces.Int.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Dynamic alpha-invariants of del Pezzo surfaces.Int

Reference 7

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source=pdf_text observed=2026-08-04T20:26:21.163307Z digest=sha256:7e96334a3e8643631f9ceec47dac110bb89d7011f91f768db5d5ca8ddc92e8a5

Observation 683a793b-6181-4a6b-8ad9-67e7e7cd6534 · outbound

This paper cites Cheltsov, Yanir A.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Cheltsov, Yanir A

Reference 8

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source=pdf_text observed=2026-08-04T20:26:21.167819Z digest=sha256:369b68fe8dd0083bd1257e2749b7e9bff5355b5bb7a16141e93f619d922df2e7

Observation e79f8b87-c7d2-46a4-bfe2-baaa25db77e0 · outbound

This paper cites K¨ ahler-Einstein metrics on Fano manifolds.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces K¨ ahler-Einstein metrics on Fano manifolds

Reference 9

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source=pdf_text observed=2026-08-04T20:26:21.172531Z digest=sha256:c1bab84e8bffb8854e69f76dcbec387f695051f3c6bd4e78ca352126ba7db08e

Observation ada682af-54a1-4650-95f9-4473e9ad3171 · outbound

This paper cites K¨ ahler-Einstein metrics on Fano manifolds.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces K¨ ahler-Einstein metrics on Fano manifolds

Reference 10

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source=pdf_text observed=2026-08-04T20:26:21.179606Z digest=sha256:4b2f86da0d6ccd1f40504af6c103333fdd17c3d6e4dc698e397412fa44cac01a

Observation 4ba3c224-86e4-4488-a919-5e4d7d440ba9 · outbound

This paper cites K¨ ahler-Einstein metrics on Fano manifolds.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces K¨ ahler-Einstein metrics on Fano manifolds

Reference 11

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source=pdf_text observed=2026-08-04T20:26:21.185054Z digest=sha256:b93b4fceba0f92af944c7081c76c492f59208a819c7952c24f53e6aee7e07087

Observation c785ac3f-eeea-481c-aac3-cafd60b7bd49 · outbound

This paper cites $\delta$-invariants of log Fano planes.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces $\delta$-invariants of log Fano planes

Reference 12

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source=pdf_text observed=2026-08-04T20:26:21.189198Z digest=sha256:dd15368186b7e72e4b1017a06004f629a71e3637b1e95c3c018ef316dc1198f8

Observation 27458ec5-17e1-4b50-b599-7263677edfa7 · outbound

This paper cites K¨ ahler metrics with cone singularities along a divisor.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces K¨ ahler metrics with cone singularities along a divisor

Reference 13

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source=pdf_text observed=2026-08-04T20:26:21.196032Z digest=sha256:c5c6343706b8389c73450adf9effd9f6ca16817b9448a43834f3371262e89e7f

Observation 732a84ba-f316-4712-8e7c-520cd6d66b78 · outbound

This paper cites A valuative criterion for uniform K-stability ofQ-Fano varieties.J.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces A valuative criterion for uniform K-stability ofQ-Fano varieties.J

Reference 14

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source=pdf_text observed=2026-08-04T20:26:21.200496Z digest=sha256:7bbd90796968486053c31989660b3a15c5d96e8b8821fc4ce214370c6e2c68cf

Observation 0baa9a8e-45f8-4ddb-83d6-0b0ea86bb66e · outbound

This paper cites On K-stability for Fano threefolds of rank 3 and degree 28.Int.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces On K-stability for Fano threefolds of rank 3 and degree 28.Int

Reference 15

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source=pdf_text observed=2026-08-04T20:26:21.205395Z digest=sha256:63d5884498c6495fb3c2147375f72bcb0f09cdcfaedb1c77526dda3482a429d1

Observation 99799c6d-1590-47e9-9834-d785fd0d0074 · outbound

This paper cites Greatest lower bounds on Ricci curvature for toric Fano manifolds.Adv.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Greatest lower bounds on Ricci curvature for toric Fano manifolds.Adv

Reference 16

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source=pdf_text observed=2026-08-04T20:26:21.211453Z digest=sha256:471af2b4ac57dbbea0be9941a5cfa1b687d3283c43c68e341ea40e5614996240

Observation b21431ab-5e7b-4c94-bb0a-3eb67999b3ee · outbound

This paper cites K-semistability is equivariant volume minimization.Duke Math.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces K-semistability is equivariant volume minimization.Duke Math

Reference 17

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Observation 9849b9cd-2d61-4e82-be8c-472df023b247 · outbound

This paper cites Math., 227(2):661– 744, 2022.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Math., 227(2):661– 744, 2022

Reference 18

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source=pdf_text observed=2026-08-04T20:26:21.224674Z digest=sha256:07ae9ad456ca0427f830dcd2ec7a41c153add4d067b79d86f88e05ad325ba8e5

Observation 9ba7b071-cffd-43cf-aee7-5f7d64f566b8 · outbound

This paper cites The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties.Peking Math.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties.Peking Math

Reference 19

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Observation 6c102477-03b4-4d73-a206-0f0e3eefa884 · outbound

This paper cites Finite generation for valuations computing stability thresholds and applications to K-stability.Ann.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Finite generation for valuations computing stability thresholds and applications to K-stability.Ann

Reference 20

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source=pdf_text observed=2026-08-04T20:26:21.234434Z digest=sha256:50a86e7a909909eddee98ee292020572a70cdfd80898ed4491c8a838d60189ca

Observation dd490bfb-19a9-420b-ac10-2700539f4273 · outbound

This paper cites an unresolved cited work.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-04T20:26:21.238798Z digest=sha256:b279bb2eddbd40af0eeb5205908b25956eda817e8c58203b396981ec538080b4

Observation 1be8429d-e1eb-43e2-ab6b-a52bb9f0eb0b · outbound

This paper cites On images of Mori dream spaces.Math.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces On images of Mori dream spaces.Math

Reference 22

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Observation 65d31f55-925e-4f3a-b51a-f111396f0662 · outbound

This paper cites The greatest Ricci lower bound, conical Einstein metrics and Chern number inequality.Geom.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces The greatest Ricci lower bound, conical Einstein metrics and Chern number inequality.Geom

Reference 23

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source=pdf_text observed=2026-08-04T20:26:21.250072Z digest=sha256:58e494e65195770c14118e4c7e507d823bfab5528f9392c9c375b5141fab1c2e

Observation f85564a3-2521-4b3c-8fa2-3b38bcfad04e · outbound

This paper cites Greatest lower bounds on the Ricci curvature of Fano manifolds.Compos.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Greatest lower bounds on the Ricci curvature of Fano manifolds.Compos

Reference 24

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source=pdf_text observed=2026-08-04T20:26:21.255217Z digest=sha256:02a43dea4a6a6dbe7863801296e030153288885df7523137e9f0a352070ed46b

Observation 5cee33b9-2a62-48f3-a4e8-25b58496bfa8 · outbound

This paper cites A remark on conical K¨ ahler-Einstein metrics.Math.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces A remark on conical K¨ ahler-Einstein metrics.Math

Reference 25

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source=pdf_text observed=2026-08-04T20:26:21.260390Z digest=sha256:552c7920b3945b92f9972330a5b52997be6ef35385dd011d483ec6232f8abe23

Observation 4e60b153-7161-470f-bc4d-5bc51c8295a7 · outbound

This paper cites On Calabi’s conjecture for complex surfaces with positive first Chern class.Invent.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces On Calabi’s conjecture for complex surfaces with positive first Chern class.Invent

Reference 26

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source=pdf_text observed=2026-08-04T20:26:21.265083Z digest=sha256:06791cfb297666aeebf14bc6b36cb901d78035143d14aa4ac5dd4e4a67395934

Observation 8b6e2dc4-65ec-435a-b248-b641a0440b56 · outbound

This paper cites K-stability and K¨ ahler-Einstein metrics.Comm.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces K-stability and K¨ ahler-Einstein metrics.Comm

Reference 27

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source=pdf_text observed=2026-08-04T20:26:21.272364Z digest=sha256:17b7d5ffbc814443b4434b1e9ec91fffa9b7df51ce9909743c503e52e5bd4674

Observation 62ce9a43-b098-4725-8a9a-b75d51310d2b · outbound

This paper cites Calabi’s conjecture and some new results in algebraic geometry.Proc.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces Calabi’s conjecture and some new results in algebraic geometry.Proc

Reference 28

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source=pdf_text observed=2026-08-04T20:26:21.276480Z digest=sha256:0d1a966212962bc096a2d4bc8482df7ecc3aa04da4ccb69b3235101dc020e368

Observation bfe245b2-49c9-4ce7-950a-b54447f2e05c · outbound

This paper cites On the Ricci curvature of a compact K¨ ahler manifold and the complex Monge- Amp` ere equation.

Conical K\"ahler-Einstein metrics on K-unstable del Pezzo surfaces On the Ricci curvature of a compact K¨ ahler manifold and the complex Monge- Amp` ere equation

Reference 29

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source=pdf_text observed=2026-08-04T20:26:21.281362Z digest=sha256:124b8f8ff4171df0f98c63db7b29d3c9e47987500d0fab1c04ebc2690bfa2b68

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