Pith. sign in

Paper Citation Record · LEDGER

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation

As of 12 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 2026-08-12T06:34:41.77262+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

No source-named external measurement is stored.

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.305024Z digest=sha256:ecf2dd7e25e66f4e4731981994e51e7b912ae3cbdd59156e7776de203f9281d6

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.308286Z digest=sha256:1c05f141922cb407b9b0c846b689336a32a8198c1401b62ddbf983fb7b09b619

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.312082Z digest=sha256:a1ba948c0535f46df9ff9aaab070775f79ca0f9d3e89b9a78d6b8be5e8b59e22

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.315114Z digest=sha256:cd6dbf2e2ff457ef29956271548685d82bd07ac7e75e67398d96b798cf544bcd

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.318153Z digest=sha256:6d89038856c0b7f5cfdfaa94138a1f5641b48cf20b316a74602644f66a4e20e0

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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raw_fallback, observed 2026-08-06T21:11:16.963502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.321770Z digest=sha256:9132f304e425180f85034f2b58f75bfd5c8f2da3617ea7395c7b8df4cd01c802

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.324366Z digest=sha256:c203622f4488c145b35f57e8aa5822e0f632d60affc2f4c948cba8737cfa3938

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.327113Z digest=sha256:2d2d51b7ceef589f0111af1b9a6fab0d9711457eb85ca972d8dbff6b30078c06

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.330166Z digest=sha256:6511a78002ba7457c8b4d0e5d574a6d057996a909349e9909a18913cd18fa46a

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
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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.332776Z digest=sha256:853aa6168f6834aae93fe2aee0c1438baeec3afbd773233583677c7421a70141

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

Resolution
unresolved
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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.338812Z digest=sha256:b9a12e9ff0521d245374ca2eb9e4f75d885dfd1cf726145bb0d001f9ea64ebb6

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.345021Z digest=sha256:cf4073baa1869fc9e505e5f6711ecd0f55834bb0752e48639d02d06d368e90bb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.347966Z digest=sha256:20a4af4aec02b754520b1974f6eaca136a72c40964d5bb2598783463c35db616

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.351119Z digest=sha256:1273ade2e8d6807007ced445b520d9c1630f89f393659cff0a362f95ad30a91e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.354009Z digest=sha256:26a714146a4aed2bc720f58495663189ba27de584df6023afc88e41cfa8d0c18

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.360261Z digest=sha256:c3ba390be9aff93d59133f27d3f38abf4930c2c22657ab9cd087db5d0c46006d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.363380Z digest=sha256:ee71b78ff2f34ce464e79a051a5d6182da0a4494b165c33b7948f8baaf5f6e23

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.366459Z digest=sha256:3ef2686e78e6b63fc0f68b12e1e1660a154baa184252f1a02b6067d3b17e7be2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.369198Z digest=sha256:06f8cb0ab75304ebac863166bed880e311f2dc47f4bec166872011fe228ebd19

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.372254Z digest=sha256:71de4567f9e0beb5d477e588b782d8d721b0ca1007953e92062333c042975bab

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.375483Z digest=sha256:cb4191e2689b551c178b63eca9134a072e6e56acf4077834efa03d8e2255c252

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.378723Z digest=sha256:553e9a7fa6f298c5557fdcd493d5a5745e97a35923003f20cf1f59a6cecd582a

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
unresolved
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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.385534Z digest=sha256:4e69f8dbbae3e8d181c570a515eea4ce1f2c6dca310a6dea03ed97f4cf58dfcf

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.391597Z digest=sha256:e73a056970083f2b435de8bbeb0a836c87e4410f337149472376e43eaf271b7b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.394326Z digest=sha256:ace595150bd9301feeb554ff99fe18088004835d5160d6654b2b7c3f702ad559

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.396910Z digest=sha256:1a0c7b25814be719b020b7d424606f8884b6b3b69bd544320da93b82cc501b60

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.402978Z digest=sha256:d9fcc9f7f2d9299afaa625dddf9616db1df645a67b71333f467a4388da30aa41

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 2026-08-12T06:34:41.77262+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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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.409538Z digest=sha256:3c8ad587e26108c456c12a07abc9dca403057580b0ff0a9ce6a1c25ef090272d

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
raw_fallback, observed 2026-08-06T21:11:04.908865Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.415732Z digest=sha256:95ea6d6a14807a3dbb4836d6e617231b0d8f6d3774abbdbd50685be9203de381

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:c5187a33ba198666d72c1db84c587f979b288fa87cb17bdde7e247a26bda06d4

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:cfb447746660cffca289b41e0ec4d27cd15ca7b22949331cb8629f21a0a21fb5

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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local_arxiv, observed 2026-08-06T21:11:04.597328Z

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source=pdf_text observed=2026-08-06T21:11:04.424496Z digest=sha256:6054e3c93d4eb2d46fd6388c8a8b391a0c0d9b0cdeac598e6acb3b609d9d8ed9

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
raw_fallback, observed 2026-08-06T21:11:04.898771Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.427629Z digest=sha256:aac1b23a187f3bb8195bf26ff333ab7cbcbbbf1dd49ccf4c04dea04e6c375fb7

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
verified exact
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.430683Z digest=sha256:b7cafcf7e9508e8b9ec51ffb56d3f8e8a66548e8d3c8ed00533433a8a16a197b

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

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.433870Z digest=sha256:d6792a34b6d44d1581aa9d8facf69df5beefbbdb3442ac7d19a71bd11c1e3ee3

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.436988Z digest=sha256:93a802d90c9637ff02e1982b3993216c0c00eccb591772861fa80ff9baa7862b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.440376Z digest=sha256:3a44b80c858f9755ddec33dcfecfc6762e3416e81ca59bff95b05da2682418e8

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:a0df28c6e002ef23a15d81498e7dc0d3212092f8611980e6b77bf2c6c16d187e

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

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.447486Z digest=sha256:905f209e7a45294355dfc0736fa551f12154d37c270a4cb55756406d2e37705a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.450363Z digest=sha256:4f631340317fbe6e613c9b8a987a79a458c9febadfdb4186f369dd6186749c21

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:11:04.453912Z digest=sha256:95d52d587410ff5c4a8ab98c051c313e30b2adf46e6b696f65fc15246105fe8b

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

Resolution
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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-10T23:22:41.766746Z digest=sha256:fa5401de2763282e7544f114571db5891a7983934076805d9063a7c3c5113284