Paper Citation Record · LEDGER

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups

As of 11 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2506.23842.

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

pith.paper-citation-record.v1
2506.23842 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:48:07.899135Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:02:27.172569Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

verified exact7
verified fuzzy15
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

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Outbound references

Observation 6aba0f88-47c6-4080-8fd0-4d6eba8638f8 · outbound

This paper cites Positivity properties of the vector bundle Monge-Amp\`ere equation.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Positivity properties of the vector bundle Monge-Amp\`ere equation

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:48:08.789913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2b342065-749a-4789-9bfb-539df71a5a28 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:14.936604Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fd8c6150-106b-474c-b661-a125c455133b · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:14.784110Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5d30a550-c0ca-48b7-8483-9a404b4c8805 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:14.559116Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b015ae6a-20a9-4d29-ad43-db1833d9013a · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:14.289971Z

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Observation 18daa873-f917-4154-a0ab-b45a078e6817 · outbound

This paper cites Toric sheaves and flips.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Toric sheaves and flips

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:48:08.675262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a7178eab-68f6-49d6-96bc-f20274a6b694 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:14.055967Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4387f19c-0805-49ef-baa8-8fdeb45e95fd · outbound

This paper cites Collins, Adam Jacob, and Shing-Tung Yau, (1,1)-forms with specified Lagrangian phase: a priori estimates and algebraic obstructions , Camb.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Collins, Adam Jacob, and Shing-Tung Yau, (1,1)-forms with specified Lagrangian phase: a priori estimates and algebraic obstructions , Camb

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:13.818106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ce7c3441-fcbd-41c1-be2e-2688cda7f590 · outbound

This paper cites Stability for Line Bundles and Deformed Hermitian-Yang-Mills Equation on Some Elliptic Surfaces.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Stability for Line Bundles and Deformed Hermitian-Yang-Mills Equation on Some Elliptic Surfaces

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T21:48:05.502242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dad0272f-4d16-4010-b8b9-cbf1d63a0252 · outbound

This paper cites Collins and Yun Shi, Stability and the deformed Hermitian-Yang-Mills equation , Surveys in differential geometry 2019.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Collins and Yun Shi, Stability and the deformed Hermitian-Yang-Mills equation , Surveys in differential geometry 2019

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:13.585613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 01d5162b-688c-4223-9b7c-21408ad33a45 · outbound

This paper cites Collins and G´ abor Sz´ ekelyhidi,Convergence of the J-flow on toric manifolds , J.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Collins and G´ abor Sz´ ekelyhidi,Convergence of the J-flow on toric manifolds , J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:13.338329Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 91ff6d79-608b-44ee-9d22-b6ba320c6a46 · outbound

This paper cites Deformed Hermitian Yang-Mills equation on rational homogeneous varieties.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Deformed Hermitian Yang-Mills equation on rational homogeneous varieties

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:48:08.596376Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3fb719f0-8d5e-426e-9081-00bcdaf72fb4 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:13.119343Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5dbecf8e-7181-4e40-a4b5-22720539d5e4 · outbound

This paper cites Cox, John B.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Cox, John B

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:12.926249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b99284d9-7399-41a1-9ab1-2acd2c4cad16 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:12.683774Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 18172802-2083-4072-9426-e1b95f032835 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:12.312442Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 64dd6b28-08ef-4748-9d42-09f79faf1001 · outbound

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

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Polynomial Bridgeland Stability Conditions on the Category of Coherent Sheaves

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:48:08.456727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d1af20d0-86e8-4cc9-84be-052633a8979e · outbound

This paper cites 1, e70219.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups 1, e70219

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:11.970217Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e4b59e03-0dd8-4372-83f9-d9e2d370a7f3 · outbound

This paper cites (2), 253–355.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups (2), 253–355

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:11.724880Z

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Observation f5693f5d-35c9-4e7d-a965-a58f293649ae · outbound

This paper cites Donaldson, Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles , Proc.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Donaldson, Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles , Proc

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:11.359464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 56eb248d-994f-4f6c-82d2-8e389f4ff30f · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:11.085524Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cd5759d7-d151-41ef-b11e-4f74849e4db6 · outbound

This paper cites MacPherson, and Bernd Sturmfels, Intersection theory on spherical varieties, J.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups MacPherson, and Bernd Sturmfels, Intersection theory on spherical varieties, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:10.942780Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c5324a34-f5ad-4bc6-9eb1-69006b8267ee · outbound

This paper cites A collection in honor of William Fulton’s 80th birthday.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups A collection in honor of William Fulton’s 80th birthday

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:10.746266Z

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Observation 9269a89c-ae04-455c-b6d7-ac00b5dc3fc7 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:10.602587Z

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Observation b0bf612b-a2c8-4531-a7e7-c6a2e4bcbb24 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:10.470356Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 828abc21-cfe7-49c3-80dd-8e831d4d9502 · outbound

This paper cites 126 (2024), no.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups 126 (2024), no

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:10.350652Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3dd8d0f0-e2f7-429d-bd2d-f5f7e636cdad · outbound

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

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups $Z$-critical equations for holomorphic vector bundles on K\"ahler surfaces

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T21:48:06.752272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d52d29e9-a747-4a29-aa74-94b359c6798a · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:10.196087Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1a38bee5-9556-40ca-b183-dcea8f47120f · outbound

This paper cites Wall-chamber decompositions for generalised Monge-Amp\`ere equations.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Wall-chamber decompositions for generalised Monge-Amp\`ere equations

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T21:48:06.879492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd5cc084-8c5d-4d2b-b06e-c9203380106f · outbound

This paper cites 2, 337 – 375.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups 2, 337 – 375

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:10.137048Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8ff07bc0-38d6-4b78-860b-f11de21eee48 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:10.033447Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation af97bc01-3d6f-43d8-b7be-4e4b9c581b67 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:09.927780Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3601f39e-7133-4318-a379-1d8f86add2a5 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:09.796356Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 10d1e843-5531-4783-9636-011fe81c1441 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:09.714775Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 53ef39f7-5e50-4124-af42-cfe28ae3e30c · outbound

This paper cites thesis, Imperial College London, 2023, https://doi.org/10.25560/103792.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups thesis, Imperial College London, 2023, https://doi.org/10.25560/103792

Reference 35

Resolution: verified exact; doi, observed 2026-08-06T21:48:08.064392Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3f8d4497-25b2-4325-9d53-aeea02a25736 · outbound

This paper cites Dedicata 219 (2025), no.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Dedicata 219 (2025), no

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:09.615919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e94f4ab3-b8b3-4199-bd45-aa184e7e3542 · outbound

This paper cites Stability of Equivariant Logarithmic Tangent Sheaves on Toric Varieties of Picard Rank Two.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Stability of Equivariant Logarithmic Tangent Sheaves on Toric Varieties of Picard Rank Two

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:48:08.336675Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 11b0099e-021f-49d9-8a46-c20570021cfb · outbound

This paper cites Pure Appl.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Pure Appl

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:09.535028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a8072d89-1f9c-4659-a2bb-f3a9a4547d0b · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:09.454697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 47482415-4f9e-4f41-be3d-9fee8dbe1d1c · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:09.365097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation abce1ca0-3a08-4d01-bea5-6d40a89a993e · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:09.277154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f4dd5af3-affb-418a-920a-0c8b38139d67 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:09.170947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1e651884-427a-4d1a-9fae-49fb3ea51a6c · outbound

This paper cites A note on stable toric sheaves of low rank.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups A note on stable toric sheaves of low rank

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:48:08.232848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ca0b5ff8-710d-4c91-a3a5-7f483685b0d7 · outbound

This paper cites Pure Appl.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Pure Appl

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:09.112682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 927e81f8-f157-4c39-883b-b11064688544 · outbound

This paper cites an unresolved cited work.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:48:09.001252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8abbc498-ac78-414b-b87a-545d6d1dfe47 · outbound

This paper cites 1, 37 – 48.

Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups 1, 37 – 48

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:48:08.892393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation f5319fd1-a81d-448a-a4f1-ae7fd2939586 · inbound

The deformed Vortex equations and equivariant stability conditions cites this paper.

The deformed Vortex equations and equivariant stability conditions Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T18:02:27.172569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.