Paper Citation Record · LEDGER

Polync varieties and multiparameter Kulikov models

As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2601.21871.

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pith.paper-citation-record.v1
2601.21871 v2

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measured 31 of 31 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T06:24:00.132095Z

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31 of 31 outbound references displayed

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Outbound references

Observation 921bd2e8-26b4-494d-811b-402ad4e3b9e1 · outbound

This paper cites Logarithmic geometry and moduli.

Polync varieties and multiparameter Kulikov models Logarithmic geometry and moduli

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:56.595051Z

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Observation a57d82fe-556c-472f-be7a-77af586fd68c · outbound

This paper cites Weak semistable reduction in characteristic 0.Inventiones Mathematicae, 139:241–273, 02 2000.

Polync varieties and multiparameter Kulikov models Weak semistable reduction in characteristic 0.Inventiones Mathematicae, 139:241–273, 02 2000

Reference 2

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Observation e2a768f1-2a46-48a4-b094-b50e6553ef3d · outbound

This paper cites Adiprasito, G.

Polync varieties and multiparameter Kulikov models Adiprasito, G

Reference 3

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Observation c536bae5-ea43-4e3e-9938-98413e301893 · outbound

This paper cites Compactifications of moduli of elliptic K3 surfaces: stable pair and toroidal.Geom.

Polync varieties and multiparameter Kulikov models Compactifications of moduli of elliptic K3 surfaces: stable pair and toroidal.Geom

Reference 4

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Observation b8957095-f8d7-4a41-b1a4-c6e5166034cc · outbound

This paper cites Compactifications of moduli spaces of K3 surfaces with a nonsymplectic involution.

Polync varieties and multiparameter Kulikov models Compactifications of moduli spaces of K3 surfaces with a nonsymplectic involution

Reference 5

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Observation c64f3aee-2a7d-42b6-944d-6400ab49dd78 · outbound

This paper cites Compact moduli of K3 surfaces.Ann.

Polync varieties and multiparameter Kulikov models Compact moduli of K3 surfaces.Ann

Reference 6

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Observation f0174140-3b5e-40a8-87be-75bd57be3b9c · outbound

This paper cites Zack Garza, and Luca Schaffler.

Polync varieties and multiparameter Kulikov models Zack Garza, and Luca Schaffler

Reference 7

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Observation e91b543e-3afe-4eef-a161-e8623a7913b3 · outbound

This paper cites Stable pair compactification of moduli of K3 surfaces of degree 2.J.

Polync varieties and multiparameter Kulikov models Stable pair compactification of moduli of K3 surfaces of degree 2.J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:57.298341Z

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Observation 0a89134c-5fe1-43d8-9ee2-a94cb35e424f · outbound

This paper cites Geometry of the Maurer-Cartan equation near degenerate Calabi-Yau varieties.J.

Polync varieties and multiparameter Kulikov models Geometry of the Maurer-Cartan equation near degenerate Calabi-Yau varieties.J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:57.433192Z

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Observation 17c09ae4-0c84-46f2-ae06-bd8685f88e6c · outbound

This paper cites Looijenga’s conjecture via integral-affine geometry.J.

Polync varieties and multiparameter Kulikov models Looijenga’s conjecture via integral-affine geometry.J

Reference 10

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Observation 3180706a-3072-4f0f-853a-ec793016eed5 · outbound

This paper cites Combinatorics and Hodge theory of degen- erations of abelian varieties: A survey of the Mumford construction, 2025.https://philip-engel.github.

Polync varieties and multiparameter Kulikov models Combinatorics and Hodge theory of degen- erations of abelian varieties: A survey of the Mumford construction, 2025.https://philip-engel.github

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:57.754631Z

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Observation ac7e37a2-e2ac-4a7c-83b8-8f68d97a3e52 · outbound

This paper cites Matroids and the integral Hodge conjecture for abelian varieties, 2025.https://philip-engel.github.io/IHCforAV.pdf.

Polync varieties and multiparameter Kulikov models Matroids and the integral Hodge conjecture for abelian varieties, 2025.https://philip-engel.github.io/IHCforAV.pdf

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:57.995150Z

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Observation 99216ee2-91ed-4240-8f61-7e7d9d2e7296 · outbound

This paper cites Springer, Cham, 2025.

Polync varieties and multiparameter Kulikov models Springer, Cham, 2025

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:58.138952Z

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Observation 2922d663-9e80-4c6e-a5a1-c0675ef655b0 · outbound

This paper cites Smoothing toroidal crossing spaces.Forum Math.

Polync varieties and multiparameter Kulikov models Smoothing toroidal crossing spaces.Forum Math

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:58.289449Z

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Observation 82502068-4a6e-4610-ac05-902ff43d045c · outbound

This paper cites The logarithmic Bogomolov-Tian-Todorov theorem.Bull.

Polync varieties and multiparameter Kulikov models The logarithmic Bogomolov-Tian-Todorov theorem.Bull

Reference 15

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Observation e4ca926b-707a-4296-b1f0-a29f69b085df · outbound

This paper cites Global smoothings of varieties with normal crossings.Ann.

Polync varieties and multiparameter Kulikov models Global smoothings of varieties with normal crossings.Ann

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:58.472900Z

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Observation f3264f93-e653-4fa2-b55a-4e9cb2720064 · outbound

This paper cites On the geometry of anticanonical pairs.

Polync varieties and multiparameter Kulikov models On the geometry of anticanonical pairs

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:58.587756Z

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Observation 97d8e57c-85d6-4229-8a9c-d8486ad0fcdf · outbound

This paper cites Smoothing cusp singularities of small length.Math.

Polync varieties and multiparameter Kulikov models Smoothing cusp singularities of small length.Math

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:58.687703Z

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Observation 6796a951-dc6a-415b-abab-ba94f9a64488 · outbound

This paper cites Morrison.

Polync varieties and multiparameter Kulikov models Morrison

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:58.911892Z

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Observation 936575f9-a0b6-4c99-bf57-b9b6c7ce0cbd · outbound

This paper cites TypeIIIdegenerations ofK3surfaces.Invent.

Polync varieties and multiparameter Kulikov models TypeIIIdegenerations ofK3surfaces.Invent

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:59.046403Z

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Observation b242c8f0-79ed-4c10-8a5b-ef6846f1e93d · outbound

This paper cites Mirror symmetry for log Calabi-Yau surfaces I.Publ.

Polync varieties and multiparameter Kulikov models Mirror symmetry for log Calabi-Yau surfaces I.Publ

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:59.143418Z

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Observation 7343ffcd-70b9-4b36-94c0-ece3a1ef8a1b · outbound

This paper cites Moduli of surfaces with an anti-canonical cycle.Compos.

Polync varieties and multiparameter Kulikov models Moduli of surfaces with an anti-canonical cycle.Compos

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:59.211765Z

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Observation 35c27d24-bfb0-4dca-8b08-84a1de0cd865 · outbound

This paper cites Log Smooth Deformation Theory.

Polync varieties and multiparameter Kulikov models Log Smooth Deformation Theory

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:59.321669Z

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Observation 0a7aa233-8eef-420f-afb6-0b33d4d159f5 · outbound

This paper cites Log smooth deformation theory.Tohoku Math.

Polync varieties and multiparameter Kulikov models Log smooth deformation theory.Tohoku Math

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:59.410609Z

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Observation 236eeac5-28c7-4da0-8c25-68dc9f627fe2 · outbound

This paper cites Logarithmic structures of Fontaine-Illusie.

Polync varieties and multiparameter Kulikov models Logarithmic structures of Fontaine-Illusie

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:59.505784Z

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Observation 22b676bf-9e36-4ac8-97fd-0d9d018c4c1a · outbound

This paper cites Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties.Invent.

Polync varieties and multiparameter Kulikov models Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties.Invent

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:59.565232Z

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Observation 7176c768-1077-4d0f-9d99-a2ca01c7aef9 · outbound

This paper cites an unresolved cited work.

Polync varieties and multiparameter Kulikov models Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:59.668875Z

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Observation 73d75b9a-9509-4536-851f-055ba55bc0c4 · outbound

This paper cites Triangulations of the sphere and degenerations of K3 surfaces.

Polync varieties and multiparameter Kulikov models Triangulations of the sphere and degenerations of K3 surfaces

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:59.738944Z

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Observation 37afbea6-2e9f-46d1-89c8-0ae549a14bbc · outbound

This paper cites Log structures on generalized semi-stable varieties.Acta Math.

Polync varieties and multiparameter Kulikov models Log structures on generalized semi-stable varieties.Acta Math

Reference 29

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Observation e00b5845-61d6-47c3-b561-debaf30a3432 · outbound

This paper cites Degeneration of surfaces with trivial canonical bundle.Ann.

Polync varieties and multiparameter Kulikov models Degeneration of surfaces with trivial canonical bundle.Ann

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T06:23:59.910391Z

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Observation 6ecb802c-cf38-4d4b-a3da-04138b1eac34 · outbound

This paper cites Period integrals from wall structures via tropical cycles, canonical coor- dinates in mirror symmetry and analyticity of toric degenerations.Publ.

Polync varieties and multiparameter Kulikov models Period integrals from wall structures via tropical cycles, canonical coor- dinates in mirror symmetry and analyticity of toric degenerations.Publ

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T06:24:00.132095Z

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