Paper Citation Record · LEDGER

Semistable reduction of smooth quartics

As of 9 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2606.13863.

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

pith.paper-citation-record.v1
2606.13863 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:42:44.792737Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T08:17:01.070918Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T08:24:26.560725Z

Reference resolution

41 of 41 outbound references displayed

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External citation measurements

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Outbound references

Observation 0d5809e8-6ea1-4a79-bf00-0feff7018086 · outbound

This paper cites Springer Science & Business Media, 2011.

Semistable reduction of smooth quartics Springer Science & Business Media, 2011

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.094655Z

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Observation 9adb6c7b-9cce-4dc1-9d2e-1e9af00455fe · outbound

This paper cites Reduction types of genus-3 curves in a special stratum of their moduli space.

Semistable reduction of smooth quartics Reduction types of genus-3 curves in a special stratum of their moduli space

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.169932Z

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Observation ac0447b1-d868-46f0-b324-8ce8caeeb0e5 · outbound

This paper cites Bouw and Stefan Wewers.

Semistable reduction of smooth quartics Bouw and Stefan Wewers

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.294891Z

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Observation 8d64f7bd-6290-4eb5-bb4d-5b26d8ac1472 · outbound

This paper cites an unresolved cited work.

Semistable reduction of smooth quartics Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.393907Z

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Observation c21626de-c243-43ac-8fe9-aac01f6172c6 · outbound

This paper cites Springer, Berlin, Heidelberg, 1980.

Semistable reduction of smooth quartics Springer, Berlin, Heidelberg, 1980

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.445922Z

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Observation e9c6af95-1493-4a9e-94cf-75481ff30eb9 · outbound

This paper cites Pluricanonical-Gorenstein-curves.

Semistable reduction of smooth quartics Pluricanonical-Gorenstein-curves

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.488684Z

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Observation 64b3da4e-07f1-4370-b858-a23eb950bbea · outbound

This paper cites Tropical hyperelliptic curves.J.

Semistable reduction of smooth quartics Tropical hyperelliptic curves.J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.533502Z

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Observation b3ecd3d4-6e59-4fa8-83b9-e66f29c6636e · outbound

This paper cites Gonality of curves whose normalizations are one or two copies of $\mathbb P^1$.

Semistable reduction of smooth quartics Gonality of curves whose normalizations are one or two copies of $\mathbb P^1$

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.583277Z

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Observation d9cd88cf-85e7-4d35-8aad-70ddfb1301cd · outbound

This paper cites Springer-Verlag, Berlin, 2000.

Semistable reduction of smooth quartics Springer-Verlag, Berlin, 2000

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.617315Z

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Observation 2dee0755-5296-412b-8b2c-1b50a611e6af · outbound

This paper cites Deligne and D.

Semistable reduction of smooth quartics Deligne and D

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.655476Z

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Observation dc6d6730-b262-456b-be6e-23f0169bdea7 · outbound

This paper cites Arithmetic of hyperelliptic curves over local fields.Math.

Semistable reduction of smooth quartics Arithmetic of hyperelliptic curves over local fields.Math

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.689173Z

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Observation c9776540-7e7e-4f31-a395-9271cdc9e668 · outbound

This paper cites Clusters and semistable models of hyperelliptic curves in the wild case.

Semistable reduction of smooth quartics Clusters and semistable models of hyperelliptic curves in the wild case

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.740757Z

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Observation b2324cf9-dc46-4ffa-8ca2-6004a519dd8e · outbound

This paper cites Advanced Book Classics.

Semistable reduction of smooth quartics Advanced Book Classics

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.782612Z

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Observation d3312eb4-94f0-48df-a210-93c75543446d · outbound

This paper cites Computing the Stable Reduction of Hyperelliptic Curves in Residue Characteristic 2.

Semistable reduction of smooth quartics Computing the Stable Reduction of Hyperelliptic Curves in Residue Characteristic 2

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.818819Z

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Observation 29ed65a5-c82c-4716-9419-acf059b0a692 · outbound

This paper cites Reduction of Hyperelliptic Curves in Characteristic $\not=2$.

Semistable reduction of smooth quartics Reduction of Hyperelliptic Curves in Characteristic $\not=2$

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.870304Z

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Observation ad1e4970-5b3d-46e0-8f40-51df46b751ef · outbound

This paper cites Reduction of hyperelliptic curves in residue characteristic 2.Journal of Number Theory, 281:429–491, 2026.

Semistable reduction of smooth quartics Reduction of hyperelliptic curves in residue characteristic 2.Journal of Number Theory, 281:429–491, 2026

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:42.967387Z

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Observation ec0a509e-2ced-4da9-b398-89c5cb37dd5b · outbound

This paper cites Kr¨ oning.

Semistable reduction of smooth quartics Kr¨ oning

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.067833Z

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Observation 30f889b2-74ca-49e2-b635-fb5e83a8e60e · outbound

This paper cites Springer-Verlag, New York, 1998.

Semistable reduction of smooth quartics Springer-Verlag, New York, 1998

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.124907Z

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Observation 65043407-48ad-476f-bcd5-435094793870 · outbound

This paper cites Wild monodromy and automorphisms of curves.Duke Math.

Semistable reduction of smooth quartics Wild monodromy and automorphisms of curves.Duke Math

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.163664Z

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Observation dc5b5363-9341-4b7f-a081-f47d37f3a46c · outbound

This paper cites Reduction type of smooth plane quartics.Algebra & Number Theory, 15(6):1429–1468, 2021.

Semistable reduction of smooth quartics Reduction type of smooth plane quartics.Algebra & Number Theory, 15(6):1429–1468, 2021

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.271159Z

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Observation 28c132d3-c231-457b-a115-c0647c9a91ad · outbound

This paper cites Oxford University Press on Demand, 2002.

Semistable reduction of smooth quartics Oxford University Press on Demand, 2002

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.346180Z

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Observation cac6b163-0e85-4978-afe1-ac23de95f8f6 · outbound

This paper cites Stable reduction of finite covers of curves.Compos.

Semistable reduction of smooth quartics Stable reduction of finite covers of curves.Compos

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.428746Z

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Observation 1097af56-8883-4952-9ae4-72b1a9013c5f · outbound

This paper cites Relevement des revˆ etements p-cycliques des courbes rationnelles semi-stables.Mathematische Annalen, 327(2):365–393, 2003.

Semistable reduction of smooth quartics Relevement des revˆ etements p-cycliques des courbes rationnelles semi-stables.Mathematische Annalen, 327(2):365–393, 2003

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.503728Z

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Observation 92fa0a97-782d-4940-b9b8-a127c54f72da · outbound

This paper cites Mumford.Stability of projective varieties.

Semistable reduction of smooth quartics Mumford.Stability of projective varieties

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.586409Z

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Observation 67f39b10-f700-4a37-820f-09516aac2335 · outbound

This paper cites Mumford, J.

Semistable reduction of smooth quartics Mumford, J

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.649959Z

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Observation c695923c-f7b0-4436-948f-334101002389 · outbound

This paper cites Semistable reduction of covers of degree $p$.

Semistable reduction of smooth quartics Semistable reduction of covers of degree $p$

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.739730Z

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Observation 77d0dc4b-f0e1-4346-85c2-1d26b6219852 · outbound

This paper cites Semistable reduction of plane quartics at p = 3.Res.

Semistable reduction of smooth quartics Semistable reduction of plane quartics at p = 3.Res

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.796116Z

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Observation 5228c848-c96c-41fb-b372-afb425a6c9ef · outbound

This paper cites Canonical systems and their limits on stable curves.J.

Semistable reduction of smooth quartics Canonical systems and their limits on stable curves.J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.849327Z

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Observation d1142cb7-dc51-43a2-a71e-e2b45194119d · outbound

This paper cites Semistable Reduction of Plane Quartics.

Semistable reduction of smooth quartics Semistable Reduction of Plane Quartics

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.907008Z

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Observation 93b8563f-5ed4-46dc-b36f-6f09944cf587 · outbound

This paper cites Springer, 2009.

Semistable reduction of smooth quartics Springer, 2009

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:43.954965Z

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Observation ebb73e69-526c-4d75-bca7-7dd5538e7b6c · outbound

This paper cites StabilityFunction.

Semistable reduction of smooth quartics StabilityFunction

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:44.026767Z

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Observation f14d4ad1-9016-4992-9abf-54a4885d59a5 · outbound

This paper cites PhD thesis, Universit¨ at Ulm, 2026.

Semistable reduction of smooth quartics PhD thesis, Universit¨ at Ulm, 2026

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:44.097940Z

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Observation 79426c32-18e4-45bb-bd04-c07c35cfe206 · outbound

This paper cites Models of hypersurfaces and Bruhat–Tits buildings.

Semistable reduction of smooth quartics Models of hypersurfaces and Bruhat–Tits buildings

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:44.156585Z

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Observation 33b36216-3118-471e-a726-2e870928a4cf · outbound

This paper cites an unresolved cited work.

Semistable reduction of smooth quartics Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:44.234243Z

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Observation 0c6b68ef-5ab7-4d84-b837-ae59684fc91b · outbound

This paper cites Reduction of plane quartics and Cayley octads.Foundations of Computational Mathematics, 26:1425–1496, 2026.

Semistable reduction of smooth quartics Reduction of plane quartics and Cayley octads.Foundations of Computational Mathematics, 26:1425–1496, 2026

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:44.316805Z

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Observation 808d8a9a-9c3f-49c7-9d31-45d02e88c413 · outbound

This paper cites Reduction of plane quartics and Dixmier–Ohno invariants.

Semistable reduction of smooth quartics Reduction of plane quartics and Dixmier–Ohno invariants

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:44.394167Z

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Observation eba6ad0a-4879-4005-87aa-0b5e579c2872 · outbound

This paper cites an unresolved cited work.

Semistable reduction of smooth quartics Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:44.459492Z

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Observation 52b0249f-5ebc-4286-b67b-c6c3727b3c9c · outbound

This paper cites Semistable reduction of covers of curves of degree p.

Semistable reduction of smooth quartics Semistable reduction of covers of curves of degree p

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:44.522844Z

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Observation 383ffb1b-9629-4fa4-bdb8-d19c9e307ec2 · outbound

This paper cites Explicit local stable resolution of cusps.

Semistable reduction of smooth quartics Explicit local stable resolution of cusps

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:44.645387Z

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Observation 173c5b93-f425-4091-b8e2-99b85b0a1de4 · outbound

This paper cites Cornalba–Harris equality for semistable hyperelliptic curves in positive characteristic.Asian Journal of Mathematics, 8(3):409– 426, 2004.

Semistable reduction of smooth quartics Cornalba–Harris equality for semistable hyperelliptic curves in positive characteristic.Asian Journal of Mathematics, 8(3):409– 426, 2004

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:44.792737Z

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Observation 0174acc2-b704-4ee5-8ee5-42c754cac30c · outbound

This paper cites an unresolved cited work.

Semistable reduction of smooth quartics Unresolved cited work

Reference 2026

Resolution: unresolved; no resolver link, observed 2026-08-02T11:42:44.284772Z

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Pith citing papers

Observation 0f6c5d5c-1993-4863-8f40-1be75b8c8dc5 · inbound

Hyperelliptic Stable Curves cites this paper.

Hyperelliptic Stable Curves Semistable reduction of smooth quartics

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-07-24T01:23:12.220176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.