Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-01T02:55:28.288514Z
Paper Citation Record · LEDGER
Quasi-$F$-singularities and singularities in birational geometry
As of 18 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2606.31666.
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 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
50 of 50 outbound references displayed
- verified exact13
- verified fuzzy32
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation debd8a60-2c0f-421e-a7ee-c7d10a1cd080 · outbound
This paper cites Aberbach , M.
Quasi-$F$-singularities and singularities in birational geometry Aberbach , M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.780104Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation de92b95a-b382-4ee2-a1fb-45cfd9ee2c66 · outbound
This paper cites Baudin , A quasi- F -split K -trivial surface which is not quasi- F^ -split , private note ( 2026 ).
Quasi-$F$-singularities and singularities in birational geometry Baudin , A quasi- F -split K -trivial surface which is not quasi- F^ -split , private note ( 2026 )
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.807341Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f68b3d19-b1f2-4a2d-ae95-1beece22a768 · outbound
This paper cites K3 surfaces of any Artin-Mazur height over $\mathbb{F}_5$ and $\mathbb{F}_7$ via quasi-$F$-split singularities and GPU acceleration.
Quasi-$F$-singularities and singularities in birational geometry K3 surfaces of any Artin-Mazur height over $\mathbb{F}_5$ and $\mathbb{F}_7$ via quasi-$F$-split singularities and GPU acceleration
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:05:43.162511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 38f55874-3610-4257-9b01-b48f8a9065ef · outbound
This paper cites Perfectoid pure singularities.
Quasi-$F$-singularities and singularities in birational geometry Perfectoid pure singularities
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-07-09T01:20:34.357693Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8d954286-1f58-456c-8d90-70b7a6b1b753 · outbound
This paper cites Cascini , H.
Quasi-$F$-singularities and singularities in birational geometry Cascini , H
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.763905Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 44a20771-53ee-4f47-9dfc-0abbe2fd840e · outbound
This paper cites Das , On strongly F -regular inversion of adjunction , J.
Quasi-$F$-singularities and singularities in birational geometry Das , On strongly F -regular inversion of adjunction , J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.782336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d8e938f9-ac2c-4119-843f-ce6a83ca7834 · outbound
This paper cites Fedder , F -purity and rational singularity , Trans.
Quasi-$F$-singularities and singularities in birational geometry Fedder , F -purity and rational singularity , Trans
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.840497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 64b1a11d-8c8e-48da-be05-2beae43ae093 · outbound
This paper cites Fedder , K.
Quasi-$F$-singularities and singularities in birational geometry Fedder , K
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.766301Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4cc820ec-ef75-4a2c-82c4-549b110c6afd · outbound
This paper cites an unresolved cited work.
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:05:43.145695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 395781e9-57d7-4f8f-ac75-de3e7a901766 · outbound
This paper cites Glassbrenner , Strong F -regularity in images of regular rings , Proc.
Quasi-$F$-singularities and singularities in birational geometry Glassbrenner , Strong F -regularity in images of regular rings , Proc
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.804363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5972dbfa-68b7-4283-b6c1-6d4e87b453a6 · outbound
This paper cites Hara , Classification of two-dimensional F -regular and F -pure singularities , Adv.
Quasi-$F$-singularities and singularities in birational geometry Hara , Classification of two-dimensional F -regular and F -pure singularities , Adv
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.810034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 80c00840-401f-49cf-b191-83aa7aa3db77 · outbound
This paper cites Hochster , C.
Quasi-$F$-singularities and singularities in birational geometry Hochster , C
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.854111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9cd76ac4-d85c-4a73-b8ea-9c189c1ea981 · outbound
This paper cites Hochster , C.
Quasi-$F$-singularities and singularities in birational geometry Hochster , C
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.865982Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 68c105a0-4ec5-49d5-8126-2a377a9600cc · outbound
This paper cites Hochster , J.
Quasi-$F$-singularities and singularities in birational geometry Hochster , J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.813154Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ac6e1f21-48b6-4fd3-9c02-fc20b243e907 · outbound
This paper cites Hara , K.-i.
Quasi-$F$-singularities and singularities in birational geometry Hara , K.-i
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.784210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d6030cea-c4a6-4abc-b353-27cde7db2faa · outbound
This paper cites Illusie , Complexe de de Rham--Witt et cohomologie cristalline , Ann.
Quasi-$F$-singularities and singularities in birational geometry Illusie , Complexe de de Rham--Witt et cohomologie cristalline , Ann
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.817941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 582b3222-507c-4389-b3c7-9ee14e6b5c50 · outbound
This paper cites On Steenbrink vanishing for rational singularities in positive characteristic.
Quasi-$F$-singularities and singularities in birational geometry On Steenbrink vanishing for rational singularities in positive characteristic
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:05:43.149770Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5e43df6f-22ed-495b-b784-bfd97cfb9e64 · outbound
This paper cites Kawakami , Extendability of differential forms via Cartier operators , J.
Quasi-$F$-singularities and singularities in birational geometry Kawakami , Extendability of differential forms via Cartier operators , J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.775471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9e72235d-31e2-4e36-89b4-9a5995ccbefb · outbound
This paper cites Extending one-forms on $F$-regular singularities.
Quasi-$F$-singularities and singularities in birational geometry Extending one-forms on $F$-regular singularities
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-07-01T12:05:43.168452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d1ee2659-6682-4d89-a853-1253822582bc · outbound
This paper cites an unresolved cited work.
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T03:03:15.856173Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7b381481-1382-40b1-9305-1c0fa5c22ef7 · outbound
This paper cites Kawakami , T.
Quasi-$F$-singularities and singularities in birational geometry Kawakami , T
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.772993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3c5e8df0-5ff7-441f-8ef5-26ea268bc1f1 · outbound
This paper cites Quasi- F -splittings in birational geometry III.
Quasi-$F$-singularities and singularities in birational geometry Quasi- F -splittings in birational geometry III
Reference 22
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:05:43.152808Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 82c296bd-b1ed-4ebc-9051-944e0fbcd031 · outbound
This paper cites Kawakami , T.
Quasi-$F$-singularities and singularities in birational geometry Kawakami , T
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.827765Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1f05f87b-5a84-4122-ad52-f2bedf083891 · outbound
This paper cites Kawakami , T.
Quasi-$F$-singularities and singularities in birational geometry Kawakami , T
Reference 24
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:05:43.180322Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6a22d11d-5c50-43b9-a07c-e2b126893c7e · outbound
This paper cites Kawakami , T.
Quasi-$F$-singularities and singularities in birational geometry Kawakami , T
Reference 25
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:05:43.183704Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 24956467-da61-4d8a-816e-eeb24acb549a · outbound
This paper cites Lipman , B.
Quasi-$F$-singularities and singularities in birational geometry Lipman , B
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.868021Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e9826da5-25ea-4137-a50e-2082aae25206 · outbound
This paper cites Musta t a , S.
Quasi-$F$-singularities and singularities in birational geometry Musta t a , S
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.832683Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e8487349-32f7-4b28-84a2-e567eb26757a · outbound
This paper cites Nakkajima , F.
Quasi-$F$-singularities and singularities in birational geometry Nakkajima , F
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.770773Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 632ed040-61f9-4456-83fd-1b1035e2db2e · outbound
This paper cites Decomposition of de Rham complex for quasi-F-split varieties.
Quasi-$F$-singularities and singularities in birational geometry Decomposition of de Rham complex for quasi-F-split varieties
Reference 29
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:05:43.177489Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c014bb3d-b73d-4a88-8455-f122c11dd134 · outbound
This paper cites Polstra , A.
Quasi-$F$-singularities and singularities in birational geometry Polstra , A
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.845052Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fc445c19-26c6-4f1c-a8c2-f79dd806eaba · outbound
This paper cites Schwede , F -adjunction , Algebra Number Theory 3 ( 2009 ), no.
Quasi-$F$-singularities and singularities in birational geometry Schwede , F -adjunction , Algebra Number Theory 3 ( 2009 ), no
Reference 31
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- raw_fallback, observed 2026-07-07T03:03:15.829939Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c1b7582c-b987-4b34-9303-cf9db4c136f6 · outbound
This paper cites Schwede , F -injective singularities are Du Bois , Amer.
Quasi-$F$-singularities and singularities in birational geometry Schwede , F -injective singularities are Du Bois , Amer
Reference 32
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- raw_fallback, observed 2026-07-07T03:03:15.777448Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c5cc9b05-46e8-4586-9a3e-652ebe0805b0 · outbound
This paper cites an unresolved cited work.
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T03:03:15.835266Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 324e010c-3ac1-45e3-8d42-ce071d4e54a4 · outbound
This paper cites an unresolved cited work.
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T03:03:15.768599Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 20a2e8d1-c277-4e2d-83d1-895120ecd376 · outbound
This paper cites an unresolved cited work.
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T03:03:15.838037Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0e33c6d1-a055-4f5d-a9c5-bded613fd3de · outbound
This paper cites an unresolved cited work.
Quasi-$F$-singularities and singularities in birational geometry Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T03:03:15.851736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6409eb36-fe56-4a0c-a441-b5d66b0dd779 · outbound
This paper cites Sato , S.
Quasi-$F$-singularities and singularities in birational geometry Sato , S
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.847281Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6af436e0-5b26-4a16-9404-82957559eb03 · outbound
This paper cites Sato , S.
Quasi-$F$-singularities and singularities in birational geometry Sato , S
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.822990Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1760cac0-d1c2-46da-af0a-ce75389badc1 · outbound
This paper cites Sato , S.
Quasi-$F$-singularities and singularities in birational geometry Sato , S
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.842714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8329ac62-d4e7-432c-ae4f-6f7533c65ad6 · outbound
This paper cites Takamatsu , Macaulay2 scripts for Fedder type criteria for quasi- F -splitting , available at https://sites.google.com/view/teppei-takamatsu/home/scripts.
Quasi-$F$-singularities and singularities in birational geometry Takamatsu , Macaulay2 scripts for Fedder type criteria for quasi- F -splitting , available at https://sites.google.com/view/teppei-takamatsu/home/scripts
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.849763Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 96222402-f78d-4fb2-88b6-a891ff0d04c7 · outbound
This paper cites Tanaka , Vanishing theorems of Kodaira type for Witt canonical sheaves , Selecta Math.
Quasi-$F$-singularities and singularities in birational geometry Tanaka , Vanishing theorems of Kodaira type for Witt canonical sheaves , Selecta Math
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.825641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1316d068-1f75-478e-a55d-df5c1b768130 · outbound
This paper cites Takagi , R.
Quasi-$F$-singularities and singularities in birational geometry Takagi , R
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.820083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d319a710-cd72-4da4-b213-83922c8c3562 · outbound
This paper cites Takagi , K.-i.
Quasi-$F$-singularities and singularities in birational geometry Takagi , K.-i
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.862202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation aa152081-48a0-465f-b9f2-b04b7e8602a5 · outbound
This paper cites Takagi , K.-i.
Quasi-$F$-singularities and singularities in birational geometry Takagi , K.-i
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.860333Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 384d31c2-bb80-4269-b98f-ed7a2196feee · outbound
This paper cites Quasi-$F^e$-splittings and quasi-$F$-regularity.
Quasi-$F$-singularities and singularities in birational geometry Quasi-$F^e$-splittings and quasi-$F$-regularity
Reference 45
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:05:43.174624Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d85654ca-f267-4423-b50b-9b2cc9d4c0ec · outbound
This paper cites arXiv preprint arXiv:2602.14792 , year =.
Quasi-$F$-singularities and singularities in birational geometry arXiv preprint arXiv:2602.14792 , year =
Reference 46
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:05:43.171561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 26480248-678e-46de-8cde-1990e7c7afd4 · outbound
This paper cites Yobuko , Quasi-Frobenius splitting and lifting of Calabi--Yau varieties in characteristic p , Math.
Quasi-$F$-singularities and singularities in birational geometry Yobuko , Quasi-Frobenius splitting and lifting of Calabi--Yau varieties in characteristic p , Math
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.858223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9245d9cd-c1d9-4d43-96bf-690a20f73d86 · outbound
This paper cites Computation method for perfectoid purity and perfectoid BCM-regularity.
Quasi-$F$-singularities and singularities in birational geometry Computation method for perfectoid purity and perfectoid BCM-regularity
Reference 48
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:05:43.165624Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e587f428-42fe-4064-be3f-0cad73d77653 · outbound
This paper cites Fedder-type criterion for quasi-$F^e$-splitting and quasi-$F$-regularity.
Quasi-$F$-singularities and singularities in birational geometry Fedder-type criterion for quasi-$F^e$-splitting and quasi-$F$-regularity
Reference 49
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:05:43.156483Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b861dd60-995b-4598-abba-33d4e95161e2 · outbound
This paper cites Zhu , Log canonical thresholds in positive characteristic , Math.
Quasi-$F$-singularities and singularities in birational geometry Zhu , Log canonical thresholds in positive characteristic , Math
Reference 50
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T03:03:15.815579Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
No inbound Pith citation observations are available.