Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T11:30:09.302184Z
Paper Citation Record · LEDGER
The Tate-Shafarevich group of a polarised K3 surface
As of 21 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 3 inbound Pith citation observations for arXiv:2507.22703.
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 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-04T00:10:50.432828Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T00:19:12.858246Z
Reference resolution
27 of 27 outbound references displayed
- verified exact2
- verified fuzzy18
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0f036250-466a-48ce-a966-21de12eb7e4a · outbound
This paper cites AbashevaŠafarevič–Tate groups of holomorphic Lagrangian fibrations II.arXiv:2407.09178.
The Tate-Shafarevich group of a polarised K3 surface AbashevaŠafarevič–Tate groups of holomorphic Lagrangian fibrations II.arXiv:2407.09178
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:30:07.212643Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f340b458-35fd-4cb2-85ec-0e0728e5c3af · outbound
This paper cites Abasheva, V.
The Tate-Shafarevich group of a polarised K3 surface Abasheva, V
Reference 2
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T11:30:09.716496Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a15fb93c-3320-491d-b393-6e1bf4ce1c5d · outbound
This paper cites CăldăraruDerived categories of twisted sheaves on Calabi–Yau manifolds.PhD thesis, Cornell University, May 2000.
The Tate-Shafarevich group of a polarised K3 surface CăldăraruDerived categories of twisted sheaves on Calabi–Yau manifolds.PhD thesis, Cornell University, May 2000
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:11.628948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2ff957bd-f891-42be-805d-bdad779463bf · outbound
This paper cites an unresolved cited work.
The Tate-Shafarevich group of a polarised K3 surface Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T11:30:11.623386Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6a3288d5-1595-48ae-b5d5-6de0b27d4b54 · outbound
This paper cites 12, 13, 14.
The Tate-Shafarevich group of a polarised K3 surface 12, 13, 14
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:11.616410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 57a09d68-1f97-43f7-812e-416e17769835 · outbound
This paper cites CampanaFibres multiples sur les surfaces: aspects geométriques, hyperboliques et arithmétiques.Manus.
The Tate-Shafarevich group of a polarised K3 surface CampanaFibres multiples sur les surfaces: aspects geométriques, hyperboliques et arithmétiques.Manus
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:11.610953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 10fcd2c3-83cc-4896-aacd-bc5424e7d15f · outbound
This paper cites Colliot-Thélène, A.
The Tate-Shafarevich group of a polarised K3 surface Colliot-Thélène, A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:11.604718Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0ede2fd7-d8ab-4c03-b7d4-4f16fe03c727 · outbound
This paper cites de Cataldo, A.
The Tate-Shafarevich group of a polarised K3 surface de Cataldo, A
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:11.599184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fac7a3a2-37ca-47d2-8b3f-81c00001b3d3 · outbound
This paper cites Twists of intermediate Jacobian fibrations.
The Tate-Shafarevich group of a polarised K3 surface Twists of intermediate Jacobian fibrations
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:30:07.894559Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e0c67a7-e640-4095-98d9-e2f0d05f3613 · outbound
This paper cites Friedman, J.
The Tate-Shafarevich group of a polarised K3 surface Friedman, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:11.592841Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2501925f-3986-4e93-9632-4136a54a34f6 · outbound
This paper cites GrothendieckLe groupe de Brauer II.
The Tate-Shafarevich group of a polarised K3 surface GrothendieckLe groupe de Brauer II
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:11.587117Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9e284719-c9aa-4ed8-928c-b7672ab4561c · outbound
This paper cites GrothendieckLe groupe de Brauer III.
The Tate-Shafarevich group of a polarised K3 surface GrothendieckLe groupe de Brauer III
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:11.581511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 25a05113-855e-4e55-b963-38073773db7a · outbound
This paper cites Hellmann The nilpotent cone in the Mukai system of rank two and genus two.Math.
The Tate-Shafarevich group of a polarised K3 surface Hellmann The nilpotent cone in the Mukai system of rank two and genus two.Math
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:11.574692Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0fc76302-fc63-4869-a1f6-ae1cfedf5b9f · outbound
This paper cites Holmes Néron models of jacobians over base schemes of dimension greater than 1.Crelle J.
The Tate-Shafarevich group of a polarised K3 surface Holmes Néron models of jacobians over base schemes of dimension greater than 1.Crelle J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:11.516155Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ca29863b-d008-45cc-9fb2-3175bc43b0d1 · outbound
This paper cites Models of Jacobians of curves.
The Tate-Shafarevich group of a polarised K3 surface Models of Jacobians of curves
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:30:08.354731Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bbe8c06f-4027-4eb6-ab5a-8f245d4d8a37 · outbound
This paper cites HuybrechtsLectures on K3 surfaces.Cambridge Studies in Advanced Mathematics volume 158, 2016.
The Tate-Shafarevich group of a polarised K3 surface HuybrechtsLectures on K3 surfaces.Cambridge Studies in Advanced Mathematics volume 158, 2016
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:11.190777Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d891c05c-3db2-4d97-9b31-6f41f0518d50 · outbound
This paper cites Huybrechts, M.
The Tate-Shafarevich group of a polarised K3 surface Huybrechts, M
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:10.838329Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation af974a04-fa61-412f-9b7a-095093c4e194 · outbound
This paper cites The special Brauer group and twisted Picard varieties.
The Tate-Shafarevich group of a polarised K3 surface The special Brauer group and twisted Picard varieties
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:30:08.666184Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1c2d430-3b5d-4d79-8186-6d3494afe057 · outbound
This paper cites Huybrechts, P.
The Tate-Shafarevich group of a polarised K3 surface Huybrechts, P
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:10.690117Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 153376b2-a13b-4826-a8dc-36291244ab42 · outbound
This paper cites The N\'eron model of a higher-dimensional Lagrangian fibration.
The Tate-Shafarevich group of a polarised K3 surface The N\'eron model of a higher-dimensional Lagrangian fibration
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:30:08.791491Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34bfb1e4-6240-452f-91e2-4fa7299af072 · outbound
This paper cites volume 71 of Springer Proc.
The Tate-Shafarevich group of a polarised K3 surface volume 71 of Springer Proc
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:10.501405Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bffdd5d7-8402-4ba5-b84a-b4c5c5c6d6b7 · outbound
This paper cites Obstruction classes for moduli spaces of sheaves and Lagrangian fibrations.
The Tate-Shafarevich group of a polarised K3 surface Obstruction classes for moduli spaces of sheaves and Lagrangian fibrations
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:30:08.945248Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d928a90c-d191-41d7-83b4-5189515dd5dc · outbound
This paper cites O’Grady The weight-two Hodge structure of moduli spaces of sheaves on K3 surfaces.JAG 6 (1997), 599–644.
The Tate-Shafarevich group of a polarised K3 surface O’Grady The weight-two Hodge structure of moduli spaces of sheaves on K3 surfaces.JAG 6 (1997), 599–644
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:10.421567Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 19e6297b-920d-4cd0-a50f-edbdc313f1e9 · outbound
This paper cites The abundance and SYZ conjectures in families of hyperkahler manifolds.
The Tate-Shafarevich group of a polarised K3 surface The abundance and SYZ conjectures in families of hyperkahler manifolds
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T11:30:09.450914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7b84ff98-19f5-4369-b295-7e8f796d582a · outbound
This paper cites https://stacks.math.columbia.edu.
The Tate-Shafarevich group of a polarised K3 surface https://stacks.math.columbia.edu
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:10.276807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f84d2984-b69c-43cd-a0db-4840507a0900 · outbound
This paper cites TateOn the conjectures of Birch and Swinnerton-Dyer and a geometric analog.Séminaire Bourbaki, Vol.
The Tate-Shafarevich group of a polarised K3 surface TateOn the conjectures of Birch and Swinnerton-Dyer and a geometric analog.Séminaire Bourbaki, Vol
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:10.078544Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8822f6b3-e7b9-4947-a775-8f88ce9f0901 · outbound
This paper cites YoshiokaModuli spaces of twisted sheaves on a projective variety.in Moduli spaces and arithmetic geo- metry, Adv.
The Tate-Shafarevich group of a polarised K3 surface YoshiokaModuli spaces of twisted sheaves on a projective variety.in Moduli spaces and arithmetic geo- metry, Adv
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:30:09.942857Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
Observation fdd17a40-f0ca-4c92-904e-d939c3b1bd6b · inbound
Topology of projective Tate-Shafarevich twists cites this paper.
Topology of projective Tate-Shafarevich twists The Tate-Shafarevich group of a polarised K3 surface
Reference 26
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T19:50:17.395291Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 681ac169-ca32-458c-ae25-72cf5181ee51 · inbound
Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves cites this paper.
Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves The Tate-Shafarevich group of a polarised K3 surface
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T13:08:08.384087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a8a26813-7890-441e-bac5-85d0f315ef04 · inbound
Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves cites this paper.
Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves The Tate-Shafarevich group of a polarised K3 surface
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T00:19:12.859701Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.