Paper Citation Record · LEDGER

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type

As of 10 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2506.21381.

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

pith.paper-citation-record.v1
2506.21381 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:52:45.486444Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:52:49.626904Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T19:54:06.136995Z

Reference resolution

37 of 37 outbound references displayed

verified exact0
verified fuzzy16
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c034a75-4cb7-4b44-b1f1-7a2fe9a8b7fa · outbound

This paper cites On the K awamata- V iehweg vanishing theorem for log del P ezzo surfaces in positive characteristic.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type On the K awamata- V iehweg vanishing theorem for log del P ezzo surfaces in positive characteristic

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:42.274634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65815d79-26b7-4a4d-89b7-1fded145d093 · outbound

This paper cites A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:42.396626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5c6bf5c-6dfb-48c4-ac11-b75aebdc0813 · outbound

This paper cites Spectrum of differential operators with elliptic adjoint on a scale of localized Sobolev spaces.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Spectrum of differential operators with elliptic adjoint on a scale of localized Sobolev spaces

Reference 3

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T22:52:45.718458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b2cce027-f83d-4145-b616-8d2e09d47024 · outbound

This paper cites Rational singularities and rational points.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Rational singularities and rational points

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:48.900905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6d10f169-e95f-4c5b-8c18-1572a5c90cf8 · outbound

This paper cites Kawamata- V iehweg vanishing fails for log del P ezzo surfaces in characteristic 3.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Kawamata- V iehweg vanishing fails for log del P ezzo surfaces in characteristic 3

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:48.614045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5ef65ee7-e07b-4012-841e-b481bc655f04 · outbound

This paper cites Vanishing theorems for three-folds in characteristic p>5.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Vanishing theorems for three-folds in characteristic p>5

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:42.961388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e4f27d3-3236-44ea-89de-8d741dd14f7e · outbound

This paper cites Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:48.389018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f330b238-6fb1-4e9b-a1b0-e001010ccd8a · outbound

This paper cites Higher direct images of the structure sheaf in positive characteristic.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Higher direct images of the structure sheaf in positive characteristic

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:43.195863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f829716d-e3a3-4e2b-a57c-f497467f8830 · outbound

This paper cites Hodge- W itt cohomology and W itt-rational singularities.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Hodge- W itt cohomology and W itt-rational singularities

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:48.066118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a7242a90-7513-4b65-9139-9264eaec53ff · outbound

This paper cites Vanishing of the higher direct images of the structure sheaf.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Vanishing of the higher direct images of the structure sheaf

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:43.355717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e061cb7-7227-4191-9024-bd749fdfa639 · outbound

This paper cites Purely log terminal threefolds with non-normal centres in characteristic two.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Purely log terminal threefolds with non-normal centres in characteristic two

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:43.443363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67f93279-a765-4378-9d7e-ac4e04a5dce0 · outbound

This paper cites Singularit\' e s rationnelles et d\' e formations.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Singularit\' e s rationnelles et d\' e formations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:47.779238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 79fee241-2de9-4496-9f93-e2d74fc96c9e · outbound

This paper cites Rationalit\' e des singularit\' e s canoniques.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Rationalit\' e des singularit\' e s canoniques

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:47.505871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 33a85ffd-07cc-4d02-ae9f-6a2f7bcb564b · outbound

This paper cites On the depth of local rings of invariants of cyclic groups.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type On the depth of local rings of invariants of cyclic groups

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:47.261307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 840da632-791b-438d-8827-f800d675fb90 · outbound

This paper cites Notes on some t -structures.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Notes on some t -structures

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:43.773712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 916ee723-1b7f-450a-bd2d-a2dd337cc30a · outbound

This paper cites Rational points on log F ano threefolds over a finite field.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Rational points on log F ano threefolds over a finite field

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:43.862637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8e39cbe-e93b-486e-ae4b-97f527768c5b · outbound

This paper cites Residues and duality.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Residues and duality

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:43.955913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39f0a9d2-f3af-4bbb-b5f4-1db254f3f549 · outbound

This paper cites Algebraic geometry.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Algebraic geometry

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:44.025351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 836e6d84-69ce-4757-8000-2c2f3eb5361d · outbound

This paper cites Tight closure and strong F -regularity.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Tight closure and strong F -regularity

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:44.103506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c0c7316-767c-4d4b-ba1d-d6d95d07b801 · outbound

This paper cites Hacon and S\' a ndor J.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Hacon and S\' a ndor J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:46.912224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 033aca96-3d3e-496d-859b-57e98537c24e · outbound

This paper cites F-regular and F -pure rings vs.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type F-regular and F -pure rings vs

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:44.296042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cff73a4-01a7-4e87-9702-d319ed3a045c · outbound

This paper cites Hacon and Jakub Witaszek.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Hacon and Jakub Witaszek

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:46.702409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 17bbcda4-4d37-4675-aa04-5dd193cb49da · outbound

This paper cites Hacon and Jakub Witaszek.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Hacon and Jakub Witaszek

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:46.582286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6795a826-9ed0-41f2-a7f4-fd5cd5bbce45 · outbound

This paper cites Hacon and Jakub Witaszek.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Hacon and Jakub Witaszek

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:46.395597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bba008a1-f5b8-421c-aac0-341caa7ff3fd · outbound

This paper cites On vanishing of higher direct images of the structure sheaf.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type On vanishing of higher direct images of the structure sheaf

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:44.618341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 782f614a-7de2-46d8-aacd-d7b419545dcb · outbound

This paper cites Singularities of the minimal model program , volume 200 of Cambridge Tracts in Mathematics.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Singularities of the minimal model program , volume 200 of Cambridge Tracts in Mathematics

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:44.695866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad2e4a38-de81-4fbe-a8a1-ee054961c195 · outbound

This paper cites Kov\' a cs.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Kov\' a cs

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:46.294172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5c9c5619-4f22-486d-9495-e0c7a672f0ee · outbound

This paper cites Quasi-F-splittings in birational geometry.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Quasi-F-splittings in birational geometry

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:44.864120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e71b6796-bd3c-4cd9-bd66-606e0119f96b · outbound

This paper cites Quasi- F -splittings in birational geometry III.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Quasi- F -splittings in birational geometry III

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:44.959635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf9ebc67-c066-4375-b70c-e9180d8c482a · outbound

This paper cites Ordinary varieties with trivial canonical bundle are not uniruled.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Ordinary varieties with trivial canonical bundle are not uniruled

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:46.195728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 49b1fbe5-7363-457b-983f-4b385c59bc00 · outbound

This paper cites Contre-exemple au ``vanishing theorem'' en caract\' e ristique p>0.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Contre-exemple au ``vanishing theorem'' en caract\' e ristique p>0

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:46.082007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c0cffaad-1419-48e9-baa2-7bdf5e6c7a99 · outbound

This paper cites an unresolved cited work.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:45.162365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e416bce6-1ed2-488b-a75b-52e9343b309f · outbound

This paper cites The S tacks project.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type The S tacks project

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:45.964281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1859f186-b4c2-4e9d-9974-e39ee737c84a · outbound

This paper cites An interpretation of multiplier ideals via tight closure.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type An interpretation of multiplier ideals via tight closure

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:45.311234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d57d2a97-246e-40ee-b1fc-59085b52aa57 · outbound

This paper cites The failure of K odaira vanishing for F ano varieties, and terminal singularities that are not C ohen- M acaulay.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type The failure of K odaira vanishing for F ano varieties, and terminal singularities that are not C ohen- M acaulay

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:52:45.837657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d835e8d2-2b1d-48a5-93ed-414395793355 · outbound

This paper cites Terminal 3-folds that are not Cohen-Macaulay.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Terminal 3-folds that are not Cohen-Macaulay

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:45.436742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e22ac57-48a9-409c-8184-af3f56ac893a · outbound

This paper cites Quasi-$F^e$-splittings and quasi-$F$-regularity.

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type Quasi-$F^e$-splittings and quasi-$F$-regularity

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T22:52:45.486444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation a3e7d831-19a3-4909-bd6a-87be49962f08 · inbound

On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension cites this paper.

On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T20:52:49.626904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31339b3a-630d-4483-9423-4d01f351da17 · inbound

On Steenbrink vanishing for rational singularities in positive characteristic cites this paper.

On Steenbrink vanishing for rational singularities in positive characteristic On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:54:06.197222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.