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Paper Citation Record · LEDGER

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence

As of 16 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:1908.03955.

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

pith.paper-citation-record.v1
1908.03955 v3

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:09:51.465247Z

measured 53 of 53 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

53 of 53 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7d328e27-8e90-424d-be68-562e93b51840 · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 1

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 7aa50cc7-6e28-4044-835b-b42b90d93bad · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 2

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 1716ad03-3ca8-49af-a2db-689d0943998b · outbound

This paper cites Aikou, Projective flatness of complex Finsler metrics , Publ.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Aikou, Projective flatness of complex Finsler metrics , Publ

Reference 3

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 2c2d459d-eca4-4368-9fb7-ff3e35a5e4cd · outbound

This paper cites Arezzo and G.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Arezzo and G

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 84cabe5f-c848-40b0-9381-6bacf135a535 · outbound

This paper cites Berndtsson, Convexity on the space of Kähler metrics , Ann.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Berndtsson, Convexity on the space of Kähler metrics , Ann

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e8e0654b-457e-4df8-b9f4-21a378aca225 · outbound

This paper cites Berndtsson, Curvature of vector bundles associated to holomorphic fibra tions, Ann.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Berndtsson, Curvature of vector bundles associated to holomorphic fibra tions, Ann

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation cc62f483-80c8-4870-93e2-c16cb8112062 · outbound

This paper cites Berndtsson, Strict and non strict positivity of direct image bundles , Math.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Berndtsson, Strict and non strict positivity of direct image bundles , Math

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 119cf310-e60a-4ea3-a7a1-6568a2d068a6 · outbound

This paper cites Berndtsson, Negative curvature and complex structures, preprint.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Berndtsson, Negative curvature and complex structures, preprint

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9ab718c7-7ab0-4821-bcd7-e56c7f189b58 · outbound

This paper cites Berndtsson, Private discussions.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Berndtsson, Private discussions

Reference 9

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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 2026-08-15T06:32:42.880941+00:00.

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Observation 2c0766f1-e18a-4325-a2df-f21ed8f7ade9 · outbound

This paper cites Algebraic fiber spaces and curvature of higher direct images.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Algebraic fiber spaces and curvature of higher direct images

Reference 10

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 2a3d2c6e-e94d-4a90-b6eb-6480415bf5d4 · outbound

This paper cites Complex Legendre duality.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Complex Legendre duality

Reference 11

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation fd96e1bb-5cec-404d-b16b-690c800fb404 · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e320dae0-e2d1-4c4f-81e8-8327357b81b7 · outbound

This paper cites Burns, Curvatures of Monge–Ampere F oliations and Parabolic Manif olds, Ann.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Burns, Curvatures of Monge–Ampere F oliations and Parabolic Manif olds, Ann

Reference 13

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 308d1357-6245-41f3-aa69-b6760a35320c · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation aa99d596-9b6a-49a1-bf1d-9228740703f0 · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 702e0da6-7a60-4bb7-aea1-44e84c586a48 · outbound

This paper cites Claudon, S.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Claudon, S

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation eb6728d1-c9cc-4dce-a204-7239554a1be2 · outbound

This paper cites On the hyperbolicity of base spaces for maximally variational families of smooth projective varieties.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence On the hyperbolicity of base spaces for maximally variational families of smooth projective varieties

Reference 17

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ef08b5bf-c389-494f-9766-374d93f24781 · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 18

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e6b302bd-56fe-450c-9ee8-6a82580f4290 · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 965a39c3-7f15-42e7-bd38-911fbbf17be7 · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 53c054a1-378b-448f-8e72-8426b72fc9a1 · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 21

Resolution
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raw_fallback, observed 2026-08-14T14:09:52.056106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ee14372e-3409-45e0-8960-9eda896611b4 · outbound

This paper cites Fujiki, Moduli space of polarized algebraic manifolds and Kähler me trics, Sugaku Expositions, 5 (1992), 173–191.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Fujiki, Moduli space of polarized algebraic manifolds and Kähler me trics, Sugaku Expositions, 5 (1992), 173–191

Reference 22

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5c3a759c-12fd-4b19-ac07-4d4c6cced2aa · outbound

This paper cites Fujiki and G, Schumacher, The moduli space of extremal compact Kähler manifolds and ge neralized W eil– Petersson metrics.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Fujiki and G, Schumacher, The moduli space of extremal compact Kähler manifolds and ge neralized W eil– Petersson metrics

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5146b3e5-f3eb-4568-908d-7fd846ffe3f5 · outbound

This paper cites Fulton, Intersection Theory, Second Edition, Sprin ger, 1998.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Fulton, Intersection Theory, Second Edition, Sprin ger, 1998

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:52.011505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9bf2bcaf-ba25-4afe-a2d0-2649a81b4f8c · outbound

This paper cites Griffiths (Ed.), T opics in Transcendental Algebraic Geometry, Princeton University Press, 1984.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Griffiths (Ed.), T opics in Transcendental Algebraic Geometry, Princeton University Press, 1984

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.998728Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation b5884276-7446-45e1-9e88-172c4ff04d25 · outbound

This paper cites Griffiths and W.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Griffiths and W

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.984327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 121095ef-e8a8-4c9c-9623-c82de3d8afe3 · outbound

This paper cites Huybrechts, Complex geometry.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Huybrechts, Complex geometry

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.970287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 736255a8-812c-4e1f-9a86-cfc8a138e7db · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:09:51.956194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6a26059e-f91b-48f3-8816-f3a5c5fe1e64 · outbound

This paper cites Kobayashi, Differential geometry of complex vector bundles, Iwanami-Princeton Univ.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Kobayashi, Differential geometry of complex vector bundles, Iwanami-Princeton Univ

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.942153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation bdf6eeb9-04c5-4aff-b762-33175072cfe4 · outbound

This paper cites Lu, On the geometry of classifying spaces and horizontal slices , Amer.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Lu, On the geometry of classifying spaces and horizontal slices , Amer

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.927510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 965334b1-0a34-4b6d-a534-08b2a2e1ec30 · outbound

This paper cites Lu, On the Hodge metric of the universal deformation space of Cal abi-Y au threefolds, J.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Lu, On the Hodge metric of the universal deformation space of Cal abi-Y au threefolds, J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.912850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3a22e29e-8c7c-4ecd-b8d2-d7a283b2fc24 · outbound

This paper cites Lu and X.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Lu and X

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.899458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c855333f-a315-4017-b71e-1266d4ea902a · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:09:51.886374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 85f2ebe7-aa48-4c52-8413-ecd83ad077d2 · outbound

This paper cites Popa and C.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Popa and C

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.872915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.377443Z digest=sha256:4f9fd7188b062ac25356eda9b6e4281bb2816ce6bedc05efe6d4f053914bbe09

Observation d44a88f7-9f86-46bc-9b3b-b559147c5cb4 · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:09:51.858841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.381682Z digest=sha256:13fd68cd3eb1d220c7ab958f7c95d7f0a01d45ee57a843ef51cfdd52c44c0e9b

Observation 7de7eca1-ca09-4439-8a45-181d9a3de75d · outbound

This paper cites Shiffman, A.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Shiffman, A

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.845124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.386391Z digest=sha256:c9c90ac8c1b020a7ffc6ed45200154dd84fcf140750d9f1ea0ada4e6eac46032

Observation bcbf2c9d-8a25-4f21-8449-0444f9e76023 · outbound

This paper cites Schnell, Generic vanishing theorem, lectures notes available in his homepage.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Schnell, Generic vanishing theorem, lectures notes available in his homepage

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.830934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.390886Z digest=sha256:3377d3fa9035f8440d09f91f09db99288aeadc2b15986c13967d696e5a63e870

Observation a5c55cfd-a84a-4fac-bff4-489c3adf0c5c · outbound

This paper cites Schumacher, The curvature of the Petersson-W eil metric on the moduli space of Kähler-Einstein manifolds , Complex analysis and geometry, 339-354, Univ.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Schumacher, The curvature of the Petersson-W eil metric on the moduli space of Kähler-Einstein manifolds , Complex analysis and geometry, 339-354, Univ

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.816789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.395094Z digest=sha256:fdd7f0e2f81f609f95115cabb87826b17445912b3cf1f6b5e8e21977bfe9844f

Observation c21bae0b-789d-47db-97e3-f54793d1e290 · outbound

This paper cites Schumacher, Positivity of relative canonical bundles and applications , Invent.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Schumacher, Positivity of relative canonical bundles and applications , Invent

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.801734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.399584Z digest=sha256:22980c391ba1546951709d8b91f66bc59a9206ae479ecd7b6b057621078f1fcc

Observation 013bb862-0a2a-4de8-9b44-177919412e9d · outbound

This paper cites Simpson, Higgs bundles and local systems , Publ.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Simpson, Higgs bundles and local systems , Publ

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.787732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.403913Z digest=sha256:558f3f0cc5028ff18747fbe05720dbf84eb8e02ce873fb38ecbd01169764b26e

Observation 5516c0d7-2cd5-408d-94d3-3bfb0726bf72 · outbound

This paper cites Sun, Note on geodesic rays and simple test configurations.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Sun, Note on geodesic rays and simple test configurations

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.773499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.408796Z digest=sha256:12848c109aacd53b7b5f4318b0010ea51442fab106e4ab8fd7537f91ea3c9ccf

Observation b115f679-90c9-411f-b770-2aa1fd7b1ffc · outbound

This paper cites an unresolved cited work.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:09:51.758628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.413135Z digest=sha256:917601cef5fb4893615dc3ef985aac7b57930da835b3917511ffd91503244a27

Observation f4db2f1d-955e-466e-8db7-9028482c638b · outbound

This paper cites Viehweg and K.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Viehweg and K

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.743672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.418129Z digest=sha256:61c8d8f0a5a96ecbd45ab1280a211be694fcf31946a4de8ca05e161ad9461922

Observation 8d01dff6-ef89-41ea-816b-e1ee9ae6ec85 · outbound

This paper cites Remarks on the geodesic-Einstein metrics of a relative ample line bundle (with an appendix by Xu Wang).

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Remarks on the geodesic-Einstein metrics of a relative ample line bundle (with an appendix by Xu Wang)

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:09:51.629705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.423118Z digest=sha256:d5d1447a08af9c020cf0a52eeef7e81454b5e043a5e1a442e7143829ed3468f2

Observation f606307e-c483-4dd4-bb24-e1268a351531 · outbound

This paper cites Wan and X.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Wan and X

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.727962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.428389Z digest=sha256:c0921fc154b054b2605a09b6082629c9b12ef8e3ecc501cfb5319cc697393176

Observation 57dada33-7a36-4f14-b7b8-56832d977059 · outbound

This paper cites The asymptotic of curvature of direct image bundle associated with higher powers of a relatively ample line bundle.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence The asymptotic of curvature of direct image bundle associated with higher powers of a relatively ample line bundle

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:09:51.607989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.432831Z digest=sha256:9b0c0459e0fff047349ebf721ee22764c65f2a5e6001aa4b48b3e7260f35a812

Observation 4430b5b2-b01d-4ce4-a222-b5f30343d032 · outbound

This paper cites A curvature formula associated to a family of pseudoconvex domains.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence A curvature formula associated to a family of pseudoconvex domains

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:09:51.585960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.437656Z digest=sha256:969ecd6ae2e58afafba9806f99ba8e1131956412b5b9813b4513d4309debddf0

Observation 603f710c-2cb2-4bb1-927f-52af154ef5a3 · outbound

This paper cites Curvature of higher direct image sheaves and its application on negative-curvature criterion for the Weil-Petersson metric.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Curvature of higher direct image sheaves and its application on negative-curvature criterion for the Weil-Petersson metric

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-14T14:09:51.442073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:09:51.442073Z digest=sha256:a98577efb098ca7fc76dcfd4890f3e15f41585b5f204848f827e4f15cd0b082b

Observation a71be6e8-0c49-4b13-8933-9fd5182491eb · outbound

This paper cites Notes on variation of Lefschetz star operator and $T$-Hodge theory.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Notes on variation of Lefschetz star operator and $T$-Hodge theory

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:09:51.551374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.446472Z digest=sha256:3d7885e28c8b71ec42a9e2e7cb9573ffce87cfadfda116290814bd956be673fd

Observation fc7601f4-1543-4b5b-9271-36ebaeb1527b · outbound

This paper cites Curvature restrictions on a manifold with a flat Higgs bundle.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Curvature restrictions on a manifold with a flat Higgs bundle

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:09:51.530066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.450660Z digest=sha256:826a4361cd2fa7ea933ea5733bff03aa70697195259ec0643f4b8d334888c53b

Observation dabbf68c-24c6-42e9-baa1-7409f7d3cb24 · outbound

This paper cites A flat Higgs bundle structure on the complexified K\"ahler cone.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence A flat Higgs bundle structure on the complexified K\"ahler cone

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:09:51.509807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.455904Z digest=sha256:165d00a8cd32f950eea0ccaae3c6983ba00cf734e02b3957bd682a935cbb3779

Observation 011fbc45-ff83-4951-8413-d1a19225222b · outbound

This paper cites Wells, Differential analysis on complex manifolds.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Wells, Differential analysis on complex manifolds

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.713040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.460829Z digest=sha256:4d3eff8126d8c64c19401d28a957c29d4d0a02a168caa139b8b81d0a4c599898

Observation 053373c0-4274-44b3-8e31-9a9799f6b3e4 · outbound

This paper cites Wolpert, Chern forms and the Riemann tensor for the mo duli space of curves, Invent.

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence Wolpert, Chern forms and the Riemann tensor for the mo duli space of curves, Invent

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:09:51.697282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:09:51.465247Z digest=sha256:8ccf2e96312d5808bf9cb177e862b4dc842e28a483de046a3e98329eedaa19c0

Pith citing papers

No inbound Pith citation observations are available.