Paper Citation Record · LEDGER

Ricci-flat metrics on Calabi-Yau manifolds

As of 12 August 2026, this Paper Citation Record lists 82 of 82 outbound references and 1 inbound Pith citation observation for arXiv:2509.25607.

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

pith.paper-citation-record.v1
2509.25607 v2

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measured 82 of 82 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T13:47:40.536131Z

measured 83 of 83 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T12:25:57.854894Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-07-02T01:16:24.317058Z

Reference resolution

82 of 82 outbound references displayed

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Outbound references

Observation 4b9e5e51-7145-4e26-bff0-dc82c7967a92 · outbound

This paper cites Andr´ e, P.

Ricci-flat metrics on Calabi-Yau manifolds Andr´ e, P

Reference 1

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Observation b81bfc0a-c012-4f54-8368-e1e3d037449c · outbound

This paper cites Boucksom, P.

Ricci-flat metrics on Calabi-Yau manifolds Boucksom, P

Reference 2

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Observation a1567776-0152-4ea6-ab0e-4e1d7c9dbe61 · outbound

This paper cites Calabi,On K¨ ahler manifolds with vanishing canonical class, inAlgebraic geometry and topology.

Ricci-flat metrics on Calabi-Yau manifolds Calabi,On K¨ ahler manifolds with vanishing canonical class, inAlgebraic geometry and topology

Reference 3

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Observation 0a8f9225-9f8b-4da6-89fd-9a79b6cea133 · outbound

This paper cites Cantat,Dynamique des automorphismes des surfacesK3, Acta Math.187(2001), no.

Ricci-flat metrics on Calabi-Yau manifolds Cantat,Dynamique des automorphismes des surfacesK3, Acta Math.187(2001), no

Reference 4

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Observation c2feb01f-e823-493b-84ac-3095cd9a91b9 · outbound

This paper cites Cantat, C.

Ricci-flat metrics on Calabi-Yau manifolds Cantat, C

Reference 5

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Observation 09d65432-daff-49c5-a317-04cdcbaff58a · outbound

This paper cites Cao, in preparation.

Ricci-flat metrics on Calabi-Yau manifolds Cao, in preparation

Reference 6

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Observation 90b76682-55ac-44a1-96f9-4c3d3fc2bfad · outbound

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Ricci-flat metrics on Calabi-Yau manifolds Unresolved cited work

Reference 7

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Observation dacc48a3-4420-4a63-951a-7dee3046f02a · outbound

This paper cites Collins, V.

Ricci-flat metrics on Calabi-Yau manifolds Collins, V

Reference 8

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Observation 841c0e59-dc6e-4df1-bd04-8c90c9b78aff · outbound

This paper cites Coman, V.

Ricci-flat metrics on Calabi-Yau manifolds Coman, V

Reference 9

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Observation 3f65af04-f4dd-4026-a5be-dac337bbea42 · outbound

This paper cites Transcendental Minimal Model Program for Projective Varieties.

Ricci-flat metrics on Calabi-Yau manifolds Transcendental Minimal Model Program for Projective Varieties

Reference 10

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Observation a9f0c22d-09e9-4984-90f9-15bc5b636e3f · outbound

This paper cites Datar, A.

Ricci-flat metrics on Calabi-Yau manifolds Datar, A

Reference 11

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Observation b1473d71-9c8d-4f6a-859d-2788a79761c7 · outbound

This paper cites Demailly,Complex Analytic and Differential Geometry, book freely available online.

Ricci-flat metrics on Calabi-Yau manifolds Demailly,Complex Analytic and Differential Geometry, book freely available online

Reference 12

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Observation f4740b90-6bd6-4fab-a967-5960a3a98fe8 · outbound

This paper cites Demailly, N.

Ricci-flat metrics on Calabi-Yau manifolds Demailly, N

Reference 13

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Observation 6b950808-f8be-499c-9743-7dea6fd6224b · outbound

This paper cites Demailly, M.

Ricci-flat metrics on Calabi-Yau manifolds Demailly, M

Reference 14

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Observation 6d4df213-115a-45a4-8e3d-b43b45859706 · outbound

This paper cites Diller, C.

Ricci-flat metrics on Calabi-Yau manifolds Diller, C

Reference 15

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Observation 01d0641a-d6d7-4734-8034-53c97938f831 · outbound

This paper cites Dinew, Z.

Ricci-flat metrics on Calabi-Yau manifolds Dinew, Z

Reference 16

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Observation 6d93472c-1210-4a39-be73-1f6e2f2277be · outbound

This paper cites Log continuity of solutions of complex Monge-Amp\`ere equations.

Ricci-flat metrics on Calabi-Yau manifolds Log continuity of solutions of complex Monge-Amp\`ere equations

Reference 17

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Observation 112df1e0-3862-4788-801a-85798372351e · outbound

This paper cites Donaldson, S.

Ricci-flat metrics on Calabi-Yau manifolds Donaldson, S

Reference 18

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Observation ee9df461-06f0-4910-9506-32a0f2041008 · outbound

This paper cites Eyssidieux, V.

Ricci-flat metrics on Calabi-Yau manifolds Eyssidieux, V

Reference 19

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Observation 777542e8-47e2-406a-a4ed-8cb27720dbd3 · outbound

This paper cites Eyssidieux, V.

Ricci-flat metrics on Calabi-Yau manifolds Eyssidieux, V

Reference 20

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Observation 6a28006e-f4cb-4926-858e-db83dda924aa · outbound

This paper cites Filip, V.

Ricci-flat metrics on Calabi-Yau manifolds Filip, V

Reference 21

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Observation efa0ec39-6ced-4f3f-891d-8917a8be05f2 · outbound

This paper cites Filip, V.

Ricci-flat metrics on Calabi-Yau manifolds Filip, V

Reference 22

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Observation 3e290c2b-9cbc-4cdc-9e9b-e35b2d1d6778 · outbound

This paper cites Filip, V.

Ricci-flat metrics on Calabi-Yau manifolds Filip, V

Reference 23

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Observation f30ad469-a385-472f-b16c-db37aad35321 · outbound

This paper cites Fine,Fibrations with constant scalar curvature K¨ ahler metrics and the CM-line bundle, Math.

Ricci-flat metrics on Calabi-Yau manifolds Fine,Fibrations with constant scalar curvature K¨ ahler metrics and the CM-line bundle, Math

Reference 24

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Observation 2d844e5c-b219-400c-94a2-606697e56544 · outbound

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Ricci-flat metrics on Calabi-Yau manifolds Unresolved cited work

Reference 25

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Observation ac5cd861-1a72-4b08-a256-1f18bcb40eea · outbound

This paper cites Greene, A.

Ricci-flat metrics on Calabi-Yau manifolds Greene, A

Reference 26

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Observation 4691b52b-0fa0-4c4e-b941-ac5f5e258b86 · outbound

This paper cites Gromov,On the entropy of holomorphic maps, Enseign.

Ricci-flat metrics on Calabi-Yau manifolds Gromov,On the entropy of holomorphic maps, Enseign

Reference 27

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Observation a74bb6b6-c367-4286-8b23-7c1ceb684f7d · outbound

This paper cites Gross, V.

Ricci-flat metrics on Calabi-Yau manifolds Gross, V

Reference 28

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Observation 640bbd08-9dae-453a-87c9-1147a3f031de · outbound

This paper cites Gross, V.

Ricci-flat metrics on Calabi-Yau manifolds Gross, V

Reference 29

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Observation d5e91222-8740-4385-9df8-b9674665d2b5 · outbound

This paper cites Gross, V.

Ricci-flat metrics on Calabi-Yau manifolds Gross, V

Reference 30

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Observation a148a7c5-8d8d-42af-a964-3c625b9fe9dd · outbound

This paper cites Gross, P.M.H.

Ricci-flat metrics on Calabi-Yau manifolds Gross, P.M.H

Reference 31

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Observation 19a2ee65-02fc-4208-bdd7-120ff56864cc · outbound

This paper cites Guedj, H.

Ricci-flat metrics on Calabi-Yau manifolds Guedj, H

Reference 32

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Observation 7bbda290-be6e-4473-9b86-3dc667965ed4 · outbound

This paper cites H\"older estimates for degenerate complex Monge-Amp\`ere equations.

Ricci-flat metrics on Calabi-Yau manifolds H\"older estimates for degenerate complex Monge-Amp\`ere equations

Reference 33

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Observation c4029678-8ae7-4fcb-91d8-6f6b9aa4500f · outbound

This paper cites Guo, D.H.

Ricci-flat metrics on Calabi-Yau manifolds Guo, D.H

Reference 34

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Observation ab834bff-bf41-47f6-aa9c-5323a2e2b544 · outbound

This paper cites Guo, D.H.

Ricci-flat metrics on Calabi-Yau manifolds Guo, D.H

Reference 35

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Observation dfcc21ca-9b90-4d25-a287-34f3abcf2d82 · outbound

This paper cites Hein,A Liouville theorem for the complex Monge-Amp` ere equation on product manifolds, Comm.

Ricci-flat metrics on Calabi-Yau manifolds Hein,A Liouville theorem for the complex Monge-Amp` ere equation on product manifolds, Comm

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Observation 5a4623b2-ab01-43d9-aecf-c6368da6dd65 · outbound

This paper cites Hein, M.-C.

Ricci-flat metrics on Calabi-Yau manifolds Hein, M.-C

Reference 37

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Observation 2867f6cb-8ee5-437c-8d10-05a301045c9f · outbound

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Ricci-flat metrics on Calabi-Yau manifolds Unresolved cited work

Reference 38

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Observation bd854ddf-764b-4c68-8cb5-8aee4e176af9 · outbound

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Ricci-flat metrics on Calabi-Yau manifolds Unresolved cited work

Reference 39

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Observation 5ba5aa04-a753-44a2-92ed-2e2e21668cd4 · outbound

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Ricci-flat metrics on Calabi-Yau manifolds Unresolved cited work

Reference 40

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Observation 35ab5c9f-6a44-4aea-a56b-884de131d2cf · outbound

This paper cites H¨ oring,Adjoint(1,1)-classes on threefolds, Izv.

Ricci-flat metrics on Calabi-Yau manifolds H¨ oring,Adjoint(1,1)-classes on threefolds, Izv

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Observation 74777b84-fc21-44f1-ab1f-cb3b9086d81d · outbound

This paper cites boundedness implies convergence.

Ricci-flat metrics on Calabi-Yau manifolds boundedness implies convergence

Reference 42

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Observation 4011400b-a158-44c3-8d2b-b13f8cbbf73c · outbound

This paper cites Kobayashi, A.N.

Ricci-flat metrics on Calabi-Yau manifolds Kobayashi, A.N

Reference 43

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Observation 4fe984e6-6e36-4322-bd0e-70e0ef0c4149 · outbound

This paper cites Ko lodziej,The complex Monge-Amp` ere equation, Acta Math.180(1998), no.

Ricci-flat metrics on Calabi-Yau manifolds Ko lodziej,The complex Monge-Amp` ere equation, Acta Math.180(1998), no

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Observation d31ab908-1006-4501-97e6-5f6fde4365f9 · outbound

This paper cites LeBrun, M.

Ricci-flat metrics on Calabi-Yau manifolds LeBrun, M

Reference 45

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Observation 60b221aa-a60a-4f4a-baed-15095b4a39f1 · outbound

This paper cites Li,A gluing construction of collapsing Calabi-Yau metrics onK3fibred3-folds, Geom.

Ricci-flat metrics on Calabi-Yau manifolds Li,A gluing construction of collapsing Calabi-Yau metrics onK3fibred3-folds, Geom

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Observation e2149ab0-3f45-4f7f-8e76-f1568074149b · outbound

This paper cites Li,On collapsing Calabi-Yau fibrations, J.

Ricci-flat metrics on Calabi-Yau manifolds Li,On collapsing Calabi-Yau fibrations, J

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Observation 1b51b7be-33ec-4ba2-86f2-165818b27f2b · outbound

This paper cites Li,Collapsing Calabi-Yau fibrations and uniform diameter bounds, Geom.

Ricci-flat metrics on Calabi-Yau manifolds Li,Collapsing Calabi-Yau fibrations and uniform diameter bounds, Geom

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Observation 652e21b9-ad22-4b14-bfc8-7f9dea05232d · outbound

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Ricci-flat metrics on Calabi-Yau manifolds Unresolved cited work

Reference 49

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Observation e66355fd-0c0d-4629-a8af-aa5d938d8485 · outbound

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Ricci-flat metrics on Calabi-Yau manifolds Unresolved cited work

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Observation 332d63e4-e8a3-4013-b23f-02f212aadf07 · outbound

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Ricci-flat metrics on Calabi-Yau manifolds Unresolved cited work

Reference 51

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Observation cae69b75-0638-4757-9014-150b008d809b · outbound

This paper cites McMullen,Dynamics onK3surfaces: Salem numbers and Siegel disks, J.

Ricci-flat metrics on Calabi-Yau manifolds McMullen,Dynamics onK3surfaces: Salem numbers and Siegel disks, J

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Observation 40b3136f-e67a-487c-ba76-abf2e58ff818 · outbound

This paper cites Nakamaye,Stable base loci of linear series, Math.

Ricci-flat metrics on Calabi-Yau manifolds Nakamaye,Stable base loci of linear series, Math

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Observation abdb6634-5a3e-4087-b429-f16c5762be2d · outbound

This paper cites Odaka, Y.

Ricci-flat metrics on Calabi-Yau manifolds Odaka, Y

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Observation fc253cfa-4d8e-4000-9f9f-cdc9861b2342 · outbound

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

Ricci-flat metrics on Calabi-Yau manifolds Collapsing of K3 Surfaces and Special K\"ahler Structures

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Observation a0135c32-af90-4f6e-ad66-6738ff63457e · outbound

This paper cites Riebesehl, F.

Ricci-flat metrics on Calabi-Yau manifolds Riebesehl, F

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Observation f772afe1-43ae-4a91-a5da-0021581fcf26 · outbound

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Ricci-flat metrics on Calabi-Yau manifolds Unresolved cited work

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Observation c7db1e9a-09e6-4cac-9b7e-5b100f40eda8 · outbound

This paper cites Satake,Algebraic structures of symmetric domains, Iwanami Shoten, Tokyo; Prince- ton University Press, Princeton, N.J., 1980.

Ricci-flat metrics on Calabi-Yau manifolds Satake,Algebraic structures of symmetric domains, Iwanami Shoten, Tokyo; Prince- ton University Press, Princeton, N.J., 1980

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Observation e555ce32-2c22-4a12-bd0c-fd3f23468005 · outbound

This paper cites Sibony, A.

Ricci-flat metrics on Calabi-Yau manifolds Sibony, A

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Observation 7f9677d6-05e8-4e2e-9fbd-4d9aa15f651c · outbound

This paper cites Simon,Schauder estimates by scaling, Calc.

Ricci-flat metrics on Calabi-Yau manifolds Simon,Schauder estimates by scaling, Calc

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Observation fd070d4f-9f48-4b1e-8240-44b608cbf747 · outbound

This paper cites Riemannian geometry of Kahler-Einstein currents.

Ricci-flat metrics on Calabi-Yau manifolds Riemannian geometry of Kahler-Einstein currents

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Observation f52f47c9-b1c4-4023-a6be-1d4f97d0ed32 · outbound

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Ricci-flat metrics on Calabi-Yau manifolds Unresolved cited work

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Observation b74ebce2-afc6-48d0-b5c8-28837c521b47 · outbound

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Ricci-flat metrics on Calabi-Yau manifolds Collapsing behavior of Ricci-flat Kahler metrics and long time solutions of the Kahler-Ricci flow

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Observation 1abe5b65-bdb6-435f-af9f-856a22361aab · outbound

This paper cites Sterk,Finiteness results for algebraicK3surfaces, Math.

Ricci-flat metrics on Calabi-Yau manifolds Sterk,Finiteness results for algebraicK3surfaces, Math

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Observation 5b20f8ec-fc47-4b9b-befb-04548af830a9 · outbound

This paper cites an unresolved cited work.

Ricci-flat metrics on Calabi-Yau manifolds Unresolved cited work

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:37.174746Z

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Observation 0c52cbe7-ff4c-4dd1-bb02-bafcb0df2a8b · outbound

This paper cites Singular K\"ahler-Einstein metrics and RCD spaces.

Ricci-flat metrics on Calabi-Yau manifolds Singular K\"ahler-Einstein metrics and RCD spaces

Reference 66

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Observation cfbcd5bf-1470-44bc-b59e-eec78c78fc2b · outbound

This paper cites Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations.

Ricci-flat metrics on Calabi-Yau manifolds Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:37.621018Z

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Observation 2d64e5eb-622e-41e7-96eb-7b6a37714cab · outbound

This paper cites Tosatti,Limits of Calabi-Yau metrics when the K¨ ahler class degenerates, J.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti,Limits of Calabi-Yau metrics when the K¨ ahler class degenerates, J

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Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:37.964743Z

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Observation 60136bb6-8eb7-4d12-b2ef-1f4483aa3df2 · outbound

This paper cites Tosatti,Adiabatic limits of Ricci-flat K¨ ahler metrics, J.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti,Adiabatic limits of Ricci-flat K¨ ahler metrics, J

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Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:38.251012Z

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Observation 5f796cb5-a216-49c2-8e88-406c65868ccd · outbound

This paper cites Tosatti,Degenerations of Calabi-Yau metrics, inGeometry and Physics in Cracow, Acta Phys.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti,Degenerations of Calabi-Yau metrics, inGeometry and Physics in Cracow, Acta Phys

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:38.439049Z

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Observation ad30773d-149d-4de3-97c3-f3d4a49c98a1 · outbound

This paper cites Tosatti,Calabi-Yau manifolds and their degenerations, Ann.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti,Calabi-Yau manifolds and their degenerations, Ann

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:38.601182Z

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Observation e7fb8ac8-bad4-48c2-8109-103efb2c3ed2 · outbound

This paper cites Tosatti,Collapsing Calabi-Yau manifolds, Surveys in Differential Geometry23 (2018), 305–337, International Press, 2020.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti,Collapsing Calabi-Yau manifolds, Surveys in Differential Geometry23 (2018), 305–337, International Press, 2020

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:38.773767Z

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Observation 3f81ce94-c8bc-4f12-ae1a-063269f69e6e · outbound

This paper cites Tosatti,Ricci-flat metrics and dynamics onK3surfaces, Boll.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti,Ricci-flat metrics and dynamics onK3surfaces, Boll

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:39.015378Z

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Observation ca49d626-70ed-44df-bafd-be0f69b2e30a · outbound

This paper cites Tosatti,Semipositive line bundles and(1,1)-classes, to appear in Acta Math.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti,Semipositive line bundles and(1,1)-classes, to appear in Acta Math

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:39.200760Z

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Observation 11bb7a78-8f0a-4b2e-821a-ae68976249c9 · outbound

This paper cites Tosatti,Immortal solutions of the K¨ ahler-Ricci flow, to appear in Contemp.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti,Immortal solutions of the K¨ ahler-Ricci flow, to appear in Contemp

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:39.348879Z

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Observation 6f01b2e4-4d23-4583-8a26-96c432bb5c4b · outbound

This paper cites Tosatti, B.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti, B

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:39.502732Z

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Observation 8636d3b6-347e-4e92-b514-ce981a83565d · outbound

This paper cites Tosatti, Y.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti, Y

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:39.754741Z

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Observation 8f08bc41-2d23-4039-ac2b-d17a373247e2 · outbound

This paper cites Tosatti, Y.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti, Y

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:39.864741Z

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Observation e6ca98d6-d49f-4326-90fc-cf191fe30f80 · outbound

This paper cites Tosatti, Y.

Ricci-flat metrics on Calabi-Yau manifolds Tosatti, Y

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:39.944733Z

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Observation 07538b80-9c37-4061-8105-02f2bbbb52c5 · outbound

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

Ricci-flat metrics on Calabi-Yau manifolds Yau,On the Ricci curvature of a compact K¨ ahler manifold and the complex Monge-Amp` ere equation, I, Comm

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-04T13:47:40.094331Z

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Observation d3d71848-c238-4757-81a9-3211e0b8b7b5 · outbound

This paper cites Yau,A general Schwarz lemma for K¨ ahler manifolds, Amer.

Ricci-flat metrics on Calabi-Yau manifolds Yau,A general Schwarz lemma for K¨ ahler manifolds, Amer

Reference 81

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Observation 01da4e00-2aef-42d9-8803-baed487b2ae8 · outbound

This paper cites Zhang,Convergence of K¨ ahler manifolds and calibrated fibrations, PhD thesis, Nankai Institute of Mathematics, 2006.

Ricci-flat metrics on Calabi-Yau manifolds Zhang,Convergence of K¨ ahler manifolds and calibrated fibrations, PhD thesis, Nankai Institute of Mathematics, 2006

Reference 82

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Pith citing papers

Observation d05c6a54-5b2f-4dad-a901-bc18ccbd3f95 · inbound

Special Lagrangian submanifolds and circle collapse on K3 cites this paper.

Special Lagrangian submanifolds and circle collapse on K3 Ricci-flat metrics on Calabi-Yau manifolds

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-07-21T01:19:47.999602Z

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