Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:24:55.657718Z
Paper Citation Record · LEDGER
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors
As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 2 inbound Pith citation observations for arXiv:2507.08522.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T14:43:40.243950Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
25 of 25 outbound references displayed
- verified exact13
- verified fuzzy5
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3c4a8f97-58c6-4146-b1b9-ee646c805862 · outbound
This paper cites MMP for Generalized Pairs on K\"ahler 3-folds.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors MMP for Generalized Pairs on K\"ahler 3-folds
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:24:54.834742Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a48ac607-56bc-4c75-a80d-21b48456a49c · outbound
This paper cites On the Log Abundance for Compact {K{\"a}hler} threefolds II.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors On the Log Abundance for Compact {K{\"a}hler} threefolds II
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:25:19.090279Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ad4ebbfa-aacc-4d2c-b2e9-851af69e1270 · outbound
This paper cites Movable curves and semistable sheaves.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors Movable curves and semistable sheaves
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:25:19.570600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 05d7094a-3c92-499a-a6c9-11444f92aca3 · outbound
This paper cites On the Miyaoka-Yau inequality for manifolds with nef anti-canonical line bundle.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors On the Miyaoka-Yau inequality for manifolds with nef anti-canonical line bundle
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:24:57.286906Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c734223c-77f2-4b6d-b8c8-9b5905411d76 · outbound
This paper cites On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:24:55.117173Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c034bf4-0eb9-4258-a607-de0d9cd7970e · outbound
This paper cites arXiv:2404.07568.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors arXiv:2404.07568
Reference 14
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T18:24:57.012839Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e48e20d2-d721-493d-a64d-974b94cd5453 · outbound
This paper cites Slope Stable Sheaves and Hermitian-Einstein Metrics on Normal Varieties with Big Cohomology Classes.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors Slope Stable Sheaves and Hermitian-Einstein Metrics on Normal Varieties with Big Cohomology Classes
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:24:56.831141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c09586c1-856a-4106-9418-9fd617981622 · outbound
This paper cites arXiv:2505.13912.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors arXiv:2505.13912
Reference 18
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T18:24:56.719542Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8aad2a75-c759-4497-9d73-2ab02e71f847 · outbound
This paper cites Compact K\"ahler manifolds with nef anti-canonical bundle.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors Compact K\"ahler manifolds with nef anti-canonical bundle
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:24:56.550231Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d8fb586c-06ba-47ea-9755-3d00807d0086 · outbound
This paper cites arXiv:2401.07273.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors arXiv:2401.07273
Reference 20
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T18:24:56.455595Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d42cdbac-ecca-4c8d-97f2-a8ae25bead5a · outbound
This paper cites A characterization of uniruled compact K\"ahler manifolds.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors A characterization of uniruled compact K\"ahler manifolds
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:24:55.439798Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52eb6232-89a3-4f9e-a354-ea8cd66dab99 · outbound
This paper cites Derivative of volumes of big cohomology classes.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors Derivative of volumes of big cohomology classes
Reference 22
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T18:24:56.245144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0edfc5bd-5132-4aa6-a23b-7327f406f4b0 · outbound
This paper cites On compact K\"ahler orbifold.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors On compact K\"ahler orbifold
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:24:56.017632Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7088ef68-e35a-4124-ac41-edb5798dbfb1 · outbound
This paper cites arXiv:2503.13365.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors arXiv:2503.13365
Reference 25
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T18:24:55.893740Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 20f483d9-7846-46dd-a901-87aee2dd627e · outbound
This paper cites The Chern classes and Kodaira dimension of a minimal variety.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors The Chern classes and Kodaira dimension of a minimal variety
Reference 1977
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:25:19.526435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8278d663-e2ce-4494-8865-7018cc9d2bf4 · outbound
This paper cites an unresolved cited work.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors Unresolved cited work
Reference 1998
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:25:19.548885Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation eba461bb-8a21-43ef-ba97-d9d733c21406 · outbound
This paper cites Regularizing properties of the K¨ ahler-Ricci flow.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors Regularizing properties of the K¨ ahler-Ricci flow
Reference 2010
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:25:19.627788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 321728b5-0cb2-426a-9e66-fc55779e35db · outbound
This paper cites A remark on compact K\"ahler manifolds with nef anticanonical bundles and its applications.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors A remark on compact K\"ahler manifolds with nef anticanonical bundles and its applications
Reference 2013
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:25:19.502506Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f15e83e7-3e5a-426b-9767-5289d5316b16 · outbound
This paper cites ´Etale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of abelian varieties.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors ´Etale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of abelian varieties
Reference 2014
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:25:19.589275Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3bafa1fa-550a-4934-a2a5-092cca8357ae · outbound
This paper cites Postivity of the logarithmic cotangent and Shafarevich-Viehweg conjecture.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors Postivity of the logarithmic cotangent and Shafarevich-Viehweg conjecture
Reference 2016
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:25:19.608227Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9110fde8-5d5d-4925-9060-e810cf2782c6 · outbound
This paper cites The Bogomolov's inequality on a singular complex space.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors The Bogomolov's inequality on a singular complex space
Reference 2021
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:24:56.150836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7a46d831-dc81-480a-b88e-3559fbe16ca1 · outbound
This paper cites Abundance theorem for minimal compact K\"ahler manifolds with vanishing second Chern class.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors Abundance theorem for minimal compact K\"ahler manifolds with vanishing second Chern class
Reference 2022
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:24:57.143047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a459c6df-6f89-4678-8be2-670f7670ba48 · outbound
This paper cites On the Minimal Model Program for K\"ahler 3-folds.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors On the Minimal Model Program for K\"ahler 3-folds
Reference 2023
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:24:54.791517Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d603988d-6a81-44cb-9889-e5f965a15377 · outbound
This paper cites Bogomolov-Gieseker inequality for log terminal K\"ahler threefolds.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors Bogomolov-Gieseker inequality for log terminal K\"ahler threefolds
Reference 2024
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:24:57.510310Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b680fe31-f44c-43c6-9672-9aeeb2b9d469 · outbound
This paper cites Remarks on Relative Canonical Bundles and Algebraicity Criteria for Foliations in K\"ahler context.
The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors Remarks on Relative Canonical Bundles and Algebraicity Criteria for Foliations in K\"ahler context
Reference 2025
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:24:54.750113Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation baa8c7d7-6d46-452b-95be-ec3512e0a452 · inbound
Semipositivity of the orbifold second Chern class in Fujiki's class cites this paper.
Semipositivity of the orbifold second Chern class in Fujiki's class The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T14:43:40.243950Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 529623dc-6649-45df-8bb7-fa228b8539ad · inbound
The Miyaoka-Yau inequality and the delta invariant for Fano varieties cites this paper.
The Miyaoka-Yau inequality and the delta invariant for Fano varieties The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors
Reference 49
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T03:21:45.495809Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.