Paper Citation Record · LEDGER

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds

As of 20 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:1909.01263.

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

pith.paper-citation-record.v1
1909.01263 v4

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:30:58.945832Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:30:58.922641Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T05:30:58.974625Z

Reference resolution

42 of 42 outbound references displayed

verified exact5
verified fuzzy31
unresolved6
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cfe2a6a2-0f6d-44cf-9562-56dab34bdafc · outbound

This paper cites Alzati and F.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Alzati and F

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.319544Z

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 e1145fe7-7e7e-4629-9f8b-e1754d821ec1 · outbound

This paper cites Artin, Algebraization of formal moduli: II.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Artin, Algebraization of formal moduli: II

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.311316Z

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 fe98852c-5948-4c96-bdeb-afd2a25a73bd · outbound

This paper cites Bauer, The classiﬁcation of surfaces in P5 having few trisecant lines , Rend.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Bauer, The classiﬁcation of surfaces in P5 having few trisecant lines , Rend

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.303911Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2c93911d-ed95-4be8-8470-92048a9ba871 · outbound

This paper cites Bolognesi, F.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Bolognesi, F

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.296074Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 666e7b68-bd35-40d6-b696-84a86902caf0 · outbound

This paper cites Chiantini and C.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Chiantini and C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.288977Z

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 29f4c93d-7f84-4d95-a5f6-db5990674fef · outbound

This paper cites Decker, L.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Decker, L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.280493Z

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 d8dec3a4-240e-43bd-8db4-204330021223 · outbound

This paper cites Fano, Sulle forme cubiche dello spazio a cinque dimensioni conten enti rigate razionali del 4◦ ordine, Comment.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Fano, Sulle forme cubiche dello spazio a cinque dimensioni conten enti rigate razionali del 4◦ ordine, Comment

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.272758Z

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 ee00bf78-2a30-43b0-8264-1df7791ee06d · outbound

This paper cites The unirationality of the moduli space of K3 surfaces of genus 22.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds The unirationality of the moduli space of K3 surfaces of genus 22

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:30:59.012504Z

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 0b1cdf91-dd53-447c-87cd-0b204aba25bb · outbound

This paper cites Fontanari and E.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Fontanari and E

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.264643Z

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 8d6f72e6-309b-4334-a196-b484abe6952c · outbound

This paper cites on the inverse of monoidal transformation.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds on the inverse of monoidal transformation

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.256677Z

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 73aef269-19a4-4e5e-a203-893a9c96f9cc · outbound

This paper cites Fulton, Intersection theory, Ergeb.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Fulton, Intersection theory, Ergeb

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.248522Z

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 ec663e36-e6cf-4be6-a0aa-5779528f5962 · outbound

This paper cites an unresolved cited work.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:30:59.240888Z

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 5d418bba-5b97-4d35-a082-363cdbebdb47 · outbound

This paper cites Gruson and C.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Gruson and C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.232709Z

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 c00606d3-6527-454d-b0a6-927499aa7669 · outbound

This paper cites an unresolved cited work.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:30:59.225236Z

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 859b91e0-d03a-4c99-9e12-050911733aff · outbound

This paper cites Hassett, Cubic fourfolds, K3 surfaces, and rationality questions , Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015 (R.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Hassett, Cubic fourfolds, K3 surfaces, and rationality questions , Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015 (R

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.217430Z

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 afb81450-d7af-4aa0-9b46-24728614288f · outbound

This paper cites Hassett, A.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Hassett, A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.209138Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 764472e2-51ab-4452-855c-dff7a06085e1 · outbound

This paper cites Hoﬀ and G.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Hoﬀ and G

Reference 17

Resolution: verified exact; doi, observed 2026-08-14T05:30:58.966816Z

Source-reported events for the cited work

correction dated 2021-06-21. Source: crossref record 10.1007/s00209-021-02777-9->10.1007/s00209-020-02498-5:correction, observed 2026-07-11T03:08:00.391171+00:00. This notice travels one citation hop only.

Observation 34bc7914-d583-4986-9388-e624ec5c85e3 · outbound

This paper cites Hulek, S.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Hulek, S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.201386Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 837a1965-a8c0-4d70-8214-bd14af622e87 · outbound

This paper cites Koll´ ar, Algebraic hypersurfaces, Bull.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Koll´ ar, Algebraic hypersurfaces, Bull

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.193507Z

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 80e97010-0acb-40cc-938b-49c33c9b8c4e · outbound

This paper cites Kontsevich and Y.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Kontsevich and Y

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.185432Z

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 f7d729c8-39ea-411f-897b-b432d6ac6209 · outbound

This paper cites Kuznetsov, Derived categories view on rationality problems , Rationality Problems in Algebraic Geom- etry: Levico Terme, Italy 2015 (R.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Kuznetsov, Derived categories view on rationality problems , Rationality Problems in Algebraic Geom- etry: Levico Terme, Italy 2015 (R

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.176435Z

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 ef9b508c-4260-48f6-b31a-f30ba03b5fb0 · outbound

This paper cites Lai, New cubic fourfolds with odd-degree unirational parametri zations, Algebra & Number Theory 11 (2017), 1597–1626.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Lai, New cubic fourfolds with odd-degree unirational parametri zations, Algebra & Number Theory 11 (2017), 1597–1626

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.167428Z

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 0a0b034d-3db9-4c70-85f0-4c3c6b55a368 · outbound

This paper cites Lee, H.-W.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Lee, H.-W

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.159411Z

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 9bc605cb-0c30-4722-a857-9f03014503a9 · outbound

This paper cites Mori, Threefolds whose canonical bundles are not numerically eﬀec tive, Ann.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Mori, Threefolds whose canonical bundles are not numerically eﬀec tive, Ann

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.150248Z

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 575ddaaf-22d0-4f02-8d7f-5350ef4677e8 · outbound

This paper cites Nakano, On the inverse of monoidal transformation , Publ.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Nakano, On the inverse of monoidal transformation , Publ

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.142630Z

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 9502002d-f73a-4199-826f-ae180623bc6c · outbound

This paper cites Tropical degenerations and stable rationality.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Tropical degenerations and stable rationality

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:30:59.001309Z

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 b9e78c28-b284-4a68-9564-4e1a5ce250c0 · outbound

This paper cites Nuer, Unirationality of moduli spaces of special cubic fourfolds and K3 surfaces , Algebr.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Nuer, Unirationality of moduli spaces of special cubic fourfolds and K3 surfaces , Algebr

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.133583Z

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 4e30ecd8-2180-4d36-8724-10be384c5c84 · outbound

This paper cites Ran, Unobstructedness of ﬁlling secants and the Gruson–Peskine general projection theorem , Duke Math.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Ran, Unobstructedness of ﬁlling secants and the Gruson–Peskine general projection theorem , Duke Math

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.125406Z

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 c4fc0722-1bf4-4b2e-8ccc-08be0a1325c9 · outbound

This paper cites Rogora, On projective varieties for which a family of multisecant li nes has dimension larger than expected, preprint n.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Rogora, On projective varieties for which a family of multisecant li nes has dimension larger than expected, preprint n

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.116082Z

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 63aa97b8-3a8b-4d35-95be-cb5e7ae0a633 · outbound

This paper cites Russo, On a theorem of Severi , Math.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Russo, On a theorem of Severi , Math

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.107023Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 218a856b-94df-4370-a6d1-d064f33431b1 · outbound

This paper cites Explicit rationality of some cubic fourfolds.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Explicit rationality of some cubic fourfolds

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:30:58.989695Z

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 5faee724-8fe8-4f19-a42f-c024163eb79e · outbound

This paper cites an unresolved cited work.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:30:59.098510Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f708645c-8f6e-4522-9793-727ff63315fb · outbound

This paper cites Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:30:58.978375Z

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 2bfa8390-761b-4fc8-a872-79fde32455c3 · outbound

This paper cites Schreieder, Stably irrational hypersurfaces of small slopes , J.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Schreieder, Stably irrational hypersurfaces of small slopes , J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.090158Z

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 f7130149-80fa-4c33-9921-e8e9f507577e · outbound

This paper cites an unresolved cited work.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:30:59.081952Z

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 5e2c9bd1-c223-4c32-bfd2-d31de1e32fbc · outbound

This paper cites an unresolved cited work.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:30:59.073776Z

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 7bb66520-39cb-4a3a-ac5c-52dcddccad20 · outbound

This paper cites Staglian` o, Special cubic Cremona transformations of P6 and P7, Adv.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Staglian` o, Special cubic Cremona transformations of P6 and P7, Adv

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.066243Z

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 b8de5093-802e-4e73-8ae9-a368366b54a9 · outbound

This paper cites an unresolved cited work.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:30:59.057010Z

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 4e3c7fc1-3efb-4153-94a2-f540c94c84b0 · outbound

This paper cites Tanimoto and A.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Tanimoto and A

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.047622Z

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 065a2d13-2991-4aed-92a1-d217d5c40f2e · outbound

This paper cites Totaro, Hypersurfaces that are not stably rational , J.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Totaro, Hypersurfaces that are not stably rational , J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.039068Z

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 77e66b1b-76c7-4a92-9b4a-21a9c5cda807 · outbound

This paper cites Vermeire, Some results on secant varieties leading to a geometric ﬂip c onstruction, Compos.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Vermeire, Some results on secant varieties leading to a geometric ﬂip c onstruction, Compos

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.030203Z

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 b458a4d4-4cfb-43dc-bc12-daf8151d95ad · outbound

This paper cites Voisin, Segre classes of tautological bundles on Hilbert schemes of surfaces, Algebr.

Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds Voisin, Segre classes of tautological bundles on Hilbert schemes of surfaces, Algebr

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:30:59.021176Z

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 f708645c-8f6e-4522-9793-727ff63315fb · inbound