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Paper Citation Record · LEDGER

Compactification of metric moduli space of $K3$ surfaces

As of 13 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2512.13315.

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pith.paper-citation-record.v1
2512.13315 v2

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measured 46 of 46 reference resolution

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Outbound references

Observation 7d1cbbb9-0660-4e09-8c5f-2750034f7e42 · outbound

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Compactification of metric moduli space of $K3$ surfaces Unresolved cited work

Reference 1

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Observation 7b838908-b616-4d09-b65a-e079215fa102 · outbound

This paper cites The K\"ahler geometry of toric manifolds.

Compactification of metric moduli space of $K3$ surfaces The K\"ahler geometry of toric manifolds

Reference 2

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Compactification of metric moduli space of $K3$ surfaces Unresolved cited work

Reference 3

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This paper cites Barth, Klaus Hulek, Chris A.

Compactification of metric moduli space of $K3$ surfaces Barth, Klaus Hulek, Chris A

Reference 4

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This paper cites Borel and J.-P.

Compactification of metric moduli space of $K3$ surfaces Borel and J.-P

Reference 5

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This paper cites American Mathematical Society, Providence, RI, 2019.

Compactification of metric moduli space of $K3$ surfaces American Mathematical Society, Providence, RI, 2019

Reference 6

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This paper cites Arithmetic subgroups of algebraic groups.Ann.

Compactification of metric moduli space of $K3$ surfaces Arithmetic subgroups of algebraic groups.Ann

Reference 7

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This paper cites Mathematics: Theory & Applications.

Compactification of metric moduli space of $K3$ surfaces Mathematics: Theory & Applications

Reference 8

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Compactification of metric moduli space of $K3$ surfaces Unresolved cited work

Reference 9

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Observation c242cbb5-e843-4d42-8b3f-95b64a11f287 · outbound

This paper cites Nilpotent structures and invariant metrics on collapsed manifolds.J.

Compactification of metric moduli space of $K3$ surfaces Nilpotent structures and invariant metrics on collapsed manifolds.J

Reference 10

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This paper cites Curvature and injectivity radius estimates for Einstein 4- manifolds.J.

Compactification of metric moduli space of $K3$ surfaces Curvature and injectivity radius estimates for Einstein 4- manifolds.J

Reference 11

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Observation f87b3e8d-b393-4225-9f07-7b7cdf838362 · outbound

This paper cites Viaclovsky, and Ruobing Zhang.

Compactification of metric moduli space of $K3$ surfaces Viaclovsky, and Ruobing Zhang

Reference 12

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This paper cites PWN—Polish Scientific Publishers, Warsaw, 1977.

Compactification of metric moduli space of $K3$ surfaces PWN—Polish Scientific Publishers, Warsaw, 1977

Reference 13

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Observation eee275e2-9d5c-4036-8baf-39bb0406aba9 · outbound

This paper cites ALF gravitational instantons and collapsing Ricci-flat metrics on theK3 surface.J.

Compactification of metric moduli space of $K3$ surfaces ALF gravitational instantons and collapsing Ricci-flat metrics on theK3 surface.J

Reference 14

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Compactification of metric moduli space of $K3$ surfaces Unresolved cited work

Reference 15

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Observation 08263860-8c7b-4e5f-89a8-849fc3ebda35 · outbound

This paper cites Special Lagrangian fibrations.

Compactification of metric moduli space of $K3$ surfaces Special Lagrangian fibrations

Reference 16

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This paper cites Gromov-Hausdorff collapsing of Calabi- Yau manifolds.Comm.

Compactification of metric moduli space of $K3$ surfaces Gromov-Hausdorff collapsing of Calabi- Yau manifolds.Comm

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Compactification of metric moduli space of $K3$ surfaces Unresolved cited work

Reference 18

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Observation 0fd47aca-4d44-4215-83c4-5a6e6db3b6e8 · outbound

This paper cites Gravitational instantons from rational elliptic surfaces.J.

Compactification of metric moduli space of $K3$ surfaces Gravitational instantons from rational elliptic surfaces.J

Reference 19

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This paper cites Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface.J.

Compactification of metric moduli space of $K3$ surfaces Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface.J

Reference 20

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Observation 37e93dfe-b184-4985-8248-853eb098df48 · outbound

This paper cites A note on the collapsing geometry of hy- perk¨ ahler four manifolds.Sci.

Compactification of metric moduli space of $K3$ surfaces A note on the collapsing geometry of hy- perk¨ ahler four manifolds.Sci

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This paper cites Cambridge University Press, Cambridge, 2016.

Compactification of metric moduli space of $K3$ surfaces Cambridge University Press, Cambridge, 2016

Reference 22

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Compactification of metric moduli space of $K3$ surfaces Unresolved cited work

Reference 23

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Reference 24

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This paper cites Lee.Introduction to smooth manifolds, volume 218 ofGraduate Texts in Mathemat- ics.

Compactification of metric moduli space of $K3$ surfaces Lee.Introduction to smooth manifolds, volume 218 ofGraduate Texts in Mathemat- ics

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Observation ad308fb4-6345-4288-b046-391d1b73fa4e · outbound

This paper cites The moduli of Weierstrass fibrations overP 1.Math.

Compactification of metric moduli space of $K3$ surfaces The moduli of Weierstrass fibrations overP 1.Math

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This paper cites Mumford, J.

Compactification of metric moduli space of $K3$ surfaces Mumford, J

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Observation 4025ac9f-b3b2-4a40-8045-4c1be4813e0b · outbound

This paper cites PL density invariant for type II degenerating K3 surfaces, moduli compactifica- tion and hyper-K¨ ahler metric.Nagoya Math.

Compactification of metric moduli space of $K3$ surfaces PL density invariant for type II degenerating K3 surfaces, moduli compactifica- tion and hyper-K¨ ahler metric.Nagoya Math

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Observation bc000558-1e92-4cd5-b0f4-dd5a0d639382 · outbound

This paper cites Mathematical Society of Japan, Tokyo, 2021.

Compactification of metric moduli space of $K3$ surfaces Mathematical Society of Japan, Tokyo, 2021

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Observation 289f94d5-7754-4544-955c-8e6f65061bca · outbound

This paper cites Collapsing of K3 Surfaces and Special K\"ahler Structures.

Compactification of metric moduli space of $K3$ surfaces Collapsing of K3 Surfaces and Special K\"ahler Structures

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This paper cites Springer, Cham, third edition, 2016.

Compactification of metric moduli space of $K3$ surfaces Springer, Cham, third edition, 2016

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Observation 5b6960cf-4b2d-4f44-af65-ebb7049642a2 · outbound

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Compactification of metric moduli space of $K3$ surfaces On compactifications of the quotient spaces for arithmetically defined discon- tinuous groups.Ann

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Observation 9b206f3f-7f65-47bf-8fd4-a92333bc5cd5 · outbound

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Compactification of metric moduli space of $K3$ surfaces On representations and compactifications of symmetric Riemannian spaces

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Observation 094438bc-92b2-4047-9b73-f7e825c884e9 · outbound

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Compactification of metric moduli space of $K3$ surfaces On the compactification of moduli spaces for algebraicK3 surfaces.Mem

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Observation cf819950-fd97-40de-b079-e3222d9ea46f · outbound

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Compactification of metric moduli space of $K3$ surfaces Serre.A course in arithmetic, volume No

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Observation 2f368734-4f08-4449-8435-7c996687bf5a · outbound

This paper cites Collapsing behavior of Ricci-flat Kahler metrics and long time solutions of the Kahler-Ricci flow.

Compactification of metric moduli space of $K3$ surfaces Collapsing behavior of Ricci-flat Kahler metrics and long time solutions of the Kahler-Ricci flow

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Observation a85b6d6e-f01a-4804-97dc-ede5fc5c8c73 · outbound

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Compactification of metric moduli space of $K3$ surfaces Collapsing geometry of hyperk¨ ahler 4-manifolds and applica- tions.Acta Math., 232(2):325–424, 2024

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Observation 40f27411-1e78-481f-9a7a-d5c4af6d4f73 · outbound

This paper cites Smoothness of the universal deformation space of compact Calabi-Yau manifolds and its Petersson-Weil metric.

Compactification of metric moduli space of $K3$ surfaces Smoothness of the universal deformation space of compact Calabi-Yau manifolds and its Petersson-Weil metric

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This paper cites On Calabi’s conjecture for complex surfaces with positive first Chern class.Invent.

Compactification of metric moduli space of $K3$ surfaces On Calabi’s conjecture for complex surfaces with positive first Chern class.Invent

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Observation e2399818-9cfb-4f84-ae27-7c77562c52b4 · outbound

This paper cites The K¨ ahler-Ricci flow, Ricci-flat metrics and collapsing limits.Amer.

Compactification of metric moduli space of $K3$ surfaces The K¨ ahler-Ricci flow, Ricci-flat metrics and collapsing limits.Amer

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Observation 268b4410-da8f-4da3-a323-8a22cdea39e6 · outbound

This paper cites Ergodic complex structures on hyperk¨ ahler manifolds.Acta Math., 215(1):161–182, 2015.

Compactification of metric moduli space of $K3$ surfaces Ergodic complex structures on hyperk¨ ahler manifolds.Acta Math., 215(1):161–182, 2015

Reference 42

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Observation c963e143-c174-4fba-b68d-b4f1b9914f5c · outbound

This paper cites Ergodic complex structures on hyperkahler manifolds: an erratum.

Compactification of metric moduli space of $K3$ surfaces Ergodic complex structures on hyperkahler manifolds: an erratum

Reference 43

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Observation 82e16871-448c-4157-af13-a5f43d7bb8ff · outbound

This paper cites On the Ricci curvature of a compact K¨ ahler manifold and the complex Monge-Amp` ere equation.

Compactification of metric moduli space of $K3$ surfaces On the Ricci curvature of a compact K¨ ahler manifold and the complex Monge-Amp` ere equation

Reference 44

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Observation 8be59476-ee9d-4791-a928-c07aa00a82dd · outbound

This paper cites Collapsing of Calabi-Yau manifolds and special Lagrangian submanifolds.

Compactification of metric moduli space of $K3$ surfaces Collapsing of Calabi-Yau manifolds and special Lagrangian submanifolds

Reference 45

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Reference 151

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