Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T10:26:46.406217Z
Paper Citation Record · LEDGER
Lifting Frobenius splittings through geometric vertex decomposition
As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2509.04364.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-14T09:57:28.169569Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
22 of 22 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3451f8f9-9d3c-4b4e-bad0-ce2a9f41fecd · outbound
This paper cites 231, Birkh\"auser Boston, Inc., Boston, MA, 2005.
Lifting Frobenius splittings through geometric vertex decomposition 231, Birkh\"auser Boston, Inc., Boston, MA, 2005
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:26:46.646430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 11ae9e5a-3ec5-484b-9f0d-ae613c1957f3 · outbound
This paper cites an unresolved cited work.
Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:26:46.636010Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bd716909-8281-4d86-9877-1cf2b3ed0b89 · outbound
This paper cites an unresolved cited work.
Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:26:46.626586Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3f7adae8-d9e0-4682-b50c-db99b03ce17a · outbound
This paper cites 3, 713--730.
Lifting Frobenius splittings through geometric vertex decomposition 3, 713--730
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:26:46.617520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 25caa278-4500-4d0a-aa0c-253989d94343 · outbound
This paper cites an unresolved cited work.
Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:26:46.608135Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3076a5be-9c0a-426c-a0f6-628b08095638 · outbound
This paper cites an unresolved cited work.
Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:26:46.599031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 66cf30df-25fc-4786-ba87-0464a0ea6f1c · outbound
This paper cites an unresolved cited work.
Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:26:46.589793Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 249a8fa2-4e48-4e85-bbc0-bdf513f37750 · outbound
This paper cites an unresolved cited work.
Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:26:46.579937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fbe117aa-6153-4fe7-ae9a-502cd8c88bd4 · outbound
This paper cites an unresolved cited work.
Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:26:46.570499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3476d522-94f9-486e-a718-d29b8da47f40 · outbound
This paper cites Roberts, Rings of invariants of reductive groups acting on regular rings are C ohen- M acaulay , Advances in Math.
Lifting Frobenius splittings through geometric vertex decomposition Roberts, Rings of invariants of reductive groups acting on regular rings are C ohen- M acaulay , Advances in Math
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:26:46.560179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 10f151f0-41ce-43ce-bfa8-6ef45739dd60 · outbound
This paper cites Algebra 53 (2025), no.
Lifting Frobenius splittings through geometric vertex decomposition Algebra 53 (2025), no
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:26:46.550991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3171620b-bf58-4828-9c59-8e29c92c5035 · outbound
This paper cites Reine Angew.
Lifting Frobenius splittings through geometric vertex decomposition Reine Angew
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:26:46.541307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 83dd3ba7-dd70-4b26-9949-9e2080f45e2c · outbound
This paper cites Frobenius splitting, point-counting, and degeneration.
Lifting Frobenius splittings through geometric vertex decomposition Frobenius splitting, point-counting, and degeneration
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T10:26:46.376708Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06e0776c-4c00-4776-9a7b-0b4c12c767cd · outbound
This paper cites Sigma 9 (2021), Paper No.
Lifting Frobenius splittings through geometric vertex decomposition Sigma 9 (2021), Paper No
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:26:46.531434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 88a7440b-2508-400e-97b7-9ce45b538aed · outbound
This paper cites an unresolved cited work.
Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:26:46.521494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 30fdb699-c6ac-41a4-a77e-69796a0f9f75 · outbound
This paper cites Lakshmibai, V.
Lifting Frobenius splittings through geometric vertex decomposition Lakshmibai, V
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:26:46.511937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 761688d4-aa9d-4c07-aff3-e5deb9e87dd1 · outbound
This paper cites an unresolved cited work.
Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:26:46.501904Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8ed8c121-99e2-467e-9184-215e6db98393 · outbound
This paper cites 1, 107--119.
Lifting Frobenius splittings through geometric vertex decomposition 1, 107--119
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:26:46.490923Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a5078e50-a121-44ee-bdf3-1b6f768b35ee · outbound
This paper cites 8, 907--950.
Lifting Frobenius splittings through geometric vertex decomposition 8, 907--950
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:26:46.480410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a244700e-e643-489d-a919-a2015eba5737 · outbound
This paper cites an unresolved cited work.
Lifting Frobenius splittings through geometric vertex decomposition Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:26:46.470116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 77984b67-b2c4-41fb-a989-3456bf5bcd0b · outbound
This paper cites 12, 106788.
Lifting Frobenius splittings through geometric vertex decomposition 12, 106788
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:26:46.459497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1430c169-e4f0-438e-9b87-0fea43600efa · outbound
This paper cites Singh, Deformation of F -purity and F -regularity , J.
Lifting Frobenius splittings through geometric vertex decomposition Singh, Deformation of F -purity and F -regularity , J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:26:46.447227Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
Observation 56e5e849-75b8-46f9-8bb4-f1c2f30e987c · inbound
Geometrically vertex decomposable star configurations cites this paper.
Geometrically vertex decomposable star configurations Lifting Frobenius splittings through geometric vertex decomposition
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T09:57:28.169569Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.