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Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives

As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2507.06995.

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pith.paper-citation-record.v1
2507.06995 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:01:38.711421Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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External citation measurements

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Outbound references

Observation 8968a649-4a88-4cae-b05c-40ec8d50259e · outbound

This paper cites Infinitesimal invariants of mixed Hodge structures.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Infinitesimal invariants of mixed Hodge structures

Reference 1

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:01:38.624127Z digest=sha256:8687edc700d8ae34e7a0b0607df25a4dfc0ea56667c6df3c09f2bc3903a33f42

Observation 970d3883-d39d-4191-a154-b1a65f2ed231 · outbound

This paper cites The desingularization of the theta divisor of a cubic threefold as a moduli space.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives The desingularization of the theta divisor of a cubic threefold as a moduli space

Reference 2

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Observation c79f7cb1-a9cf-4fc9-8b9d-81adc88dc3e4 · outbound

This paper cites Moduli spaces of rank-2 ACM bundles on prime F ano threefolds.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Moduli spaces of rank-2 ACM bundles on prime F ano threefolds

Reference 3

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Observation 7d72405a-8291-4963-acbc-3ac3ad61437c · outbound

This paper cites Polyvector fields for F ano 3-folds.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Polyvector fields for F ano 3-folds

Reference 4

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Observation 74e72892-bff7-4cf0-89c3-5ec1998c9ddc · outbound

This paper cites Kuznetsov's F ano threefold conjecture via K 3 categories and enhanced group actions.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Kuznetsov's F ano threefold conjecture via K 3 categories and enhanced group actions

Reference 5

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Observation 951bfea6-ded9-4700-a37d-87ff71b5a293 · outbound

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Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Unresolved cited work

Reference 6

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Observation 574d9863-b005-40c8-86a0-00f71b88bd9b · outbound

This paper cites Gushel-Mukai varieties.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Gushel-Mukai varieties

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:01:38.643818Z digest=sha256:6c7bba990588770dfa8044561583d35d177aa8259ecb405fa40e716eaa28aeff

Observation 57d3a292-7f0e-4651-b0e4-5bf82a9d610f · outbound

This paper cites On the period map for prime F ano threefolds of degree 10.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives On the period map for prime F ano threefolds of degree 10

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation c0e2e76a-91dc-4f17-87ea-bb0b989afc3f · outbound

This paper cites Gushel- M ukai varieties: classification and birationalities.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Gushel- M ukai varieties: classification and birationalities

Reference 9

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Source-reported events for the cited work

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Observation 95c3af5b-c5c9-4fd3-b18b-5c4dd95bd918 · outbound

This paper cites The infinitesimal T orelli problem for zero sets of sections of vector bundles.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives The infinitesimal T orelli problem for zero sets of sections of vector bundles

Reference 10

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Observation 8dea1503-e5ae-4b10-8356-862fdf1773e9 · outbound

This paper cites Gallego and Bangere P.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Gallego and Bangere P

Reference 11

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Observation 24b0f9f5-1fd3-4b6a-9fac-5b89ef29926b · outbound

This paper cites Hochschild cohomology versus the J acobian ring and the T orelli theorem for cubic fourfolds.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Hochschild cohomology versus the J acobian ring and the T orelli theorem for cubic fourfolds

Reference 12

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Observation e9fdc7da-14bc-4a40-9caa-8e115b598384 · outbound

This paper cites The F ano surface of the G ushel' threefold.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives The F ano surface of the G ushel' threefold

Reference 13

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Observation 51e4aea1-e1dc-49ce-8ea4-e97179f08e8d · outbound

This paper cites The theta divisor of bidegree (2,2) threefold in P^2 P^2.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives The theta divisor of bidegree (2,2) threefold in P^2 P^2

Reference 14

Resolution
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Observation feaacdad-58a1-49e5-91e8-3e3c215afb76 · outbound

This paper cites Infinitesimal categorical T orelli theorems for F ano threefolds.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Infinitesimal categorical T orelli theorems for F ano threefolds

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 217aba2e-2ff4-46ab-b250-dbd0e07f8648 · outbound

This paper cites Categorical T orelli theorems for G ushel- M ukai threefolds.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Categorical T orelli theorems for G ushel- M ukai threefolds

Reference 16

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Source-reported events for the cited work

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Observation a870e03f-ac16-4b72-84eb-5bcbba288b34 · outbound

This paper cites Brill-Noether reconstruction of index one prime Fano threefolds.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Brill-Noether reconstruction of index one prime Fano threefolds

Reference 17

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:01:38.672766Z digest=sha256:2aff12b8d9f9747b8b8ca4e6df6d1d252184b6a254b9f1b8acdf4e00d9369c72

Observation 32bca517-7187-4a89-8c09-f8d7cebddcbd · outbound

This paper cites On deformations and the local T orelli problem of cyclic branched coverings.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives On deformations and the local T orelli problem of cyclic branched coverings

Reference 18

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Observation 8280fe7c-8ade-4937-8b5b-d01de7758c25 · outbound

This paper cites Derived categories of G ushel- M ukai varieties.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Derived categories of G ushel- M ukai varieties

Reference 19

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Observation 66851988-1547-4e21-ae22-c8f9f88c69a7 · outbound

This paper cites Categorical cones and quadratic homological projective duality.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Categorical cones and quadratic homological projective duality

Reference 20

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source=arxiv_source observed=2026-08-06T19:01:38.680713Z digest=sha256:3f14886477f0e1dae5db27f752ed7d28251f3462590d61576cee60a343b4456e

Observation 9caceaff-3031-40a3-b78f-7e8119303816 · outbound

This paper cites Kuznetsov.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Kuznetsov

Reference 21

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source=arxiv_source observed=2026-08-06T19:01:38.683481Z digest=sha256:fe416e7aee3f1f50ec7e6afb94d550761da0be3596826d470651e5d8a9742b86

Observation 9a7789b5-68cb-4d40-a481-c7c42f252412 · outbound

This paper cites Hyperplane sections and derived categories.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Hyperplane sections and derived categories

Reference 22

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Observation b9771b7f-dc7c-4183-a96f-b3f856550b35 · outbound

This paper cites Hochschild homology and semiorthogonal decompositions.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Hochschild homology and semiorthogonal decompositions

Reference 23

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:01:38.688781Z digest=sha256:251364cd726cb42ad78586e12064b958027916d8d5fa78b78874201c30865af7

Observation ac1e45f0-025f-4668-b6ff-ad5da9308cc9 · outbound

This paper cites Kuznetsov.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Kuznetsov

Reference 24

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 5d7679b4-374a-421d-bbb2-9b7da609e073 · outbound

This paper cites Height of exceptional collections and H ochschild cohomology of quasiphantom categories.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Height of exceptional collections and H ochschild cohomology of quasiphantom categories

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:01:38.694430Z digest=sha256:896da172fd38c6b283b8713ac36f14a00e05cba63a9e749bc9dca74821fb2f3c

Observation 07fb4063-4b9f-4493-8966-250609ca3e77 · outbound

This paper cites Stability conditions on F ano threefolds of P icard number 1.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Stability conditions on F ano threefolds of P icard number 1

Reference 26

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:01:38.696771Z digest=sha256:90aa675d10eebfe130d80c567086a1f95632598c006c9478a12ad02fe85bc30b

Observation a1189b3a-1586-42bd-a7e3-0c6650f7324c · outbound

This paper cites Fano threefolds of genus 6.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Fano threefolds of genus 6

Reference 27

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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-06T19:01:38.699030Z digest=sha256:0ee726a54d5e81d7c79011e5614354d0d0b6593a9d96cc4f928ea1b4f4536893

Observation 720e06b8-6a02-4e02-8ced-03c9fc6d8b82 · outbound

This paper cites Derived categories of hearts on K uznetsov components.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Derived categories of hearts on K uznetsov components

Reference 28

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:01:38.701416Z digest=sha256:5f5d726cdf4b51176c878ff98c493e84845cc4b0791077c9b963dd8c4ef8b1d0

Observation 636a9b1d-13cf-48a8-aaec-7b313bcd8f82 · outbound

This paper cites A note on B ridgeland moduli spaces and moduli spaces of sheaves on X_ 14 and Y_3.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives A note on B ridgeland moduli spaces and moduli spaces of sheaves on X_ 14 and Y_3

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:01:38.704150Z digest=sha256:354e1b315362e61fcf5dfef41d3d78507b9a17513776b626d0527464f6b28653

Observation 4ae945c1-79ab-45cc-baec-9b7cd88916e0 · outbound

This paper cites an unresolved cited work.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Unresolved cited work

Reference 30

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:01:38.706827Z digest=sha256:0c767bb5a1ac08204b2f46b0ac00b8be50ceef887bf218b70b2226c8856ac42c

Observation 79d8ef05-7743-4674-9a5b-5e0415699e81 · outbound

This paper cites Effect of automorphisms on variation of H odge structures.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives Effect of automorphisms on variation of H odge structures

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:01:38.709108Z digest=sha256:74173cd3e30f947f6f33e4bc0a1cd985dc48ccf3a52ad076e48722f42353425a

Observation 8a67babd-31d8-420d-a861-abc51ff02a09 · outbound

This paper cites The P rym map has degree two on plane sextics.

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives The P rym map has degree two on plane sextics

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:01:38.711421Z digest=sha256:b0015c75d63da3e8ae124c014403f02500d151628a754356350f5fba17f8d643

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