Paper Citation Record · LEDGER

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities

As of 15 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 3 inbound Pith citation observations for arXiv:2412.19040.

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pith.paper-citation-record.v1
2412.19040 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

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measured 46 of 46 standing notices

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measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:27:21.059894Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T04:00:51.107225Z

Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation e6f208a7-3a8e-438f-99b2-09c69af1c6dd · outbound

This paper cites Amiot, Cluster categories for algebras of global dime nsion 2 and quivers with potentional, Ann.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Amiot, Cluster categories for algebras of global dime nsion 2 and quivers with potentional, Ann

Reference 1

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Observation 65ac3705-bfdc-4671-b908-d209fc5d5599 · outbound

This paper cites Amiot, O.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Amiot, O

Reference 2

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Observation de5f3971-e6a7-4799-b4d8-fccbded55683 · outbound

This paper cites Artin and W.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Artin and W

Reference 3

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Observation 709149d0-ac0b-428c-ad41-5628ba46ee6b · outbound

This paper cites Artin and J.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Artin and J

Reference 4

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Observation fd3d3137-ff4d-4863-8555-3b36bfc9a3d8 · outbound

This paper cites Auslander, On the purity of the branch locus, Amer.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Auslander, On the purity of the branch locus, Amer

Reference 5

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Observation 3c8bff61-bb56-4e1b-b95e-4626554310ba · outbound

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Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Unresolved cited work

Reference 6

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Observation 2cb0d8a0-e3c8-4d9f-8d2e-ab86e5268a95 · outbound

This paper cites Bocklandt, T.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Bocklandt, T

Reference 7

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Observation afb84f39-08ac-418f-b8e8-6cff8fb27b8b · outbound

This paper cites Bondal and A.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Bondal and A

Reference 8

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Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Unresolved cited work

Reference 9

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Observation 841a9f4b-5287-4eb6-8849-65e76eaf9d2d · outbound

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Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Unresolved cited work

Reference 10

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Observation 6d284acc-65f7-416e-a5dc-6b4141766af8 · outbound

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Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Unresolved cited work

Reference 11

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Observation b1925a95-d0f6-4393-8af3-42f87666dac6 · outbound

This paper cites Fomin and A.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Fomin and A

Reference 12

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Observation a7071e68-ff21-44e6-86a0-f89626cd5150 · outbound

This paper cites Ginzburg, Calabi-Yau algebras, arXiv:0612139.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Ginzburg, Calabi-Yau algebras, arXiv:0612139

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T01:08:53.075309Z

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Observation 9415e540-2148-431e-87a1-5d5d96237ef8 · outbound

This paper cites Goto and K.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Goto and K

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.991173Z

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Observation f58189b4-75be-48d0-b5c2-f8dbcf660e12 · outbound

This paper cites Guo, Cluster tilting objects in generalized higher c luster categories, J.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Guo, Cluster tilting objects in generalized higher c luster categories, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.959175Z

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Observation 498ec872-95c6-4424-a15a-4b5a9c1cd743 · outbound

This paper cites Hanihara, Cluster categories of formal DG algebras a nd singularity categories, Forum of Mathematics, Sigma (20 22), Vol.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Hanihara, Cluster categories of formal DG algebras a nd singularity categories, Forum of Mathematics, Sigma (20 22), Vol

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.899222Z

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Observation 079867c9-0807-4286-bb8a-92c06addc80f · outbound

This paper cites Hanihara, Morita theorem for hereditary Calabi-Yau categories, Adv.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Hanihara, Morita theorem for hereditary Calabi-Yau categories, Adv

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.831867Z

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Observation e25b6bb9-c443-4ca0-a1d8-d9b1e35f3a20 · outbound

This paper cites Hanihara, Non-commutative resolutions for Segre pr oducts and Cohen-Macaulay rings of hereditary representat ion type, Trans.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Hanihara, Non-commutative resolutions for Segre pr oducts and Cohen-Macaulay rings of hereditary representat ion type, Trans

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.789073Z

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Observation 683efb88-198d-457c-a1f1-d1abfc9cca21 · outbound

This paper cites Calabi-Yau completions for roots of dualizing dg bimodules.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Calabi-Yau completions for roots of dualizing dg bimodules

Reference 19

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Observation 69193b96-2a5c-40f8-990b-52b4bd77b7d9 · outbound

This paper cites Enhanced Auslander-Reiten duality and Morita theorem for singularity categories.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Enhanced Auslander-Reiten duality and Morita theorem for singularity categories

Reference 20

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Observation fab89b4b-c3b6-4e15-9e66-19c012387525 · outbound

This paper cites Herschend, O.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Herschend, O

Reference 21

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Observation 63018388-3548-4e10-8539-3246ea0eb8c4 · outbound

This paper cites Higashitani and Y.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Higashitani and Y

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.706550Z

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Observation 82287845-5ebe-4b33-8df3-451778ca7b4b · outbound

This paper cites Iyama, Higher-dimensional Auslander-Reiten theor y on maximal orthogonal subcategories, Adv.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Iyama, Higher-dimensional Auslander-Reiten theor y on maximal orthogonal subcategories, Adv

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T01:08:53.304092Z

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Observation 726656ca-c9e7-41ad-85c5-77bd8ce52d9d · outbound

This paper cites Iyama, Auslander correspondence, Adv.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Iyama, Auslander correspondence, Adv

Reference 24

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Observation cf2b1cea-57f4-4057-a591-e4097c081cb7 · outbound

This paper cites Iyama, Cluster tilting for higher Auslander algebra s, Adv.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Iyama, Cluster tilting for higher Auslander algebra s, Adv

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.619521Z

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Observation 64920398-673b-4734-995b-fff9d4db1d77 · outbound

This paper cites Iyama, Tilting Cohen-Macaulay representations, Pr oceedings of the International Congress of Mathematicians –Rio de Janeiro 2018.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Iyama, Tilting Cohen-Macaulay representations, Pr oceedings of the International Congress of Mathematicians –Rio de Janeiro 2018

Reference 26

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Observation 5569560d-6a55-4239-9319-96dba78bdf67 · outbound

This paper cites Iyama and I.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Iyama and I

Reference 27

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Observation 93db1943-57aa-4c1b-becf-cc607b012049 · outbound

This paper cites Iyama and R.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Iyama and R

Reference 28

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Observation a30962b9-a187-488b-bbb4-587ccf883237 · outbound

This paper cites Iyama and D.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Iyama and D

Reference 29

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Observation ac657831-e99a-4133-9fbd-83c9158322a8 · outbound

This paper cites Kalck, Derived categories of singular varieties and ﬁnite dimensional algebras, in: Representation Theory of Q uivers and Finite-Dimensional Algebras, Oberwolfach Rep.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Kalck, Derived categories of singular varieties and ﬁnite dimensional algebras, in: Representation Theory of Q uivers and Finite-Dimensional Algebras, Oberwolfach Rep

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.397150Z

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Observation 7bbafbca-f5e3-429b-a9ba-f2dcca40ec80 · outbound

This paper cites Keller, Deriving DG categories, Ann.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Keller, Deriving DG categories, Ann

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.344766Z

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Observation 0ae52671-a2ce-4280-ae5a-89698c67c6f2 · outbound

This paper cites Keller, On triangulated orbit categories, Doc.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Keller, On triangulated orbit categories, Doc

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.299704Z

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Observation aa460da0-dcf6-4549-b558-9e7d3fa22f51 · outbound

This paper cites Keller, Deformed Calabi-Yau completions, with an ap pendix by M.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Keller, Deformed Calabi-Yau completions, with an ap pendix by M

Reference 33

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Observation 62bef7e8-ddf9-4d9b-9a67-d4386e96a3d5 · outbound

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Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-11T01:08:54.183970Z

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Observation cce595c3-02ec-485d-8163-0e9063300641 · outbound

This paper cites Minamoto and I.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Minamoto and I

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.144813Z

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Observation 2d94290b-fc57-482b-9db8-1fababc32ebe · outbound

This paper cites Orlov, Triangulated categories of singularities an d D-branes in Landau–Ginzburg modules, Tr.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Orlov, Triangulated categories of singularities an d D-branes in Landau–Ginzburg modules, Tr

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.094748Z

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Observation 059d8322-d9c2-41a9-a549-e7edfa1c2336 · outbound

This paper cites Orlov, Derived categories of coherent sheaves and tr iangulated categories of singularities, Algebra, arithme tic, and geom- etry: in honor of Yu.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Orlov, Derived categories of coherent sheaves and tr iangulated categories of singularities, Algebra, arithme tic, and geom- etry: in honor of Yu

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:54.046064Z

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Observation cc487c9f-bc2b-4e87-a58a-547d401f24fc · outbound

This paper cites an unresolved cited work.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-11T01:08:54.010889Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 17001873-9073-4e9b-8556-3153da09551a · outbound

This paper cites Rickard, Derived categories and stable equivalence , J.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Rickard, Derived categories and stable equivalence , J

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:53.957847Z

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Observation 0f9bfb6f-2b76-4a0b-9c2a-ec6692a82ba1 · outbound

This paper cites an unresolved cited work.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T01:08:53.931193Z

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Observation 853b1d02-0de0-4685-8d52-6aa2f71918fc · outbound

This paper cites Van den Bergh, Cohen-Macaulayness of modules of cova riants, Invent.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Van den Bergh, Cohen-Macaulayness of modules of cova riants, Invent

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:53.907643Z

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Observation badbc0ef-ac6f-492e-84cf-fcce0b5cad92 · outbound

This paper cites Van den Bergh, Non-commutative crepant resolutions , The legacy of Niels Henrik Abel, 749–770, Springer, Berlin , 2004.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Van den Bergh, Non-commutative crepant resolutions , The legacy of Niels Henrik Abel, 749–770, Springer, Berlin , 2004

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:53.878574Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 582b0e97-8cfd-4e8b-8bc7-2e5071382260 · outbound

This paper cites Yoshino, Cohen-Macaulay modules over Cohen-Macaul ay rings, London Mathematical Society Lecture Note Series 1 46, Cambridge University Press, Cambridge, 1990.

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Yoshino, Cohen-Macaulay modules over Cohen-Macaul ay rings, London Mathematical Society Lecture Note Series 1 46, Cambridge University Press, Cambridge, 1990

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:08:53.848596Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 6db2aa28-970f-4de9-b8b1-81b0ac0f234c · inbound

Non-commutative crepant resolutions of toric singularities with divisor class group of rank one cites this paper.

Non-commutative crepant resolutions of toric singularities with divisor class group of rank one Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-18T04:00:51.109533Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8286c636-8aa7-4423-b701-33d9e1f0113e · inbound

Non-commutative crepant resolutions of toric singularities with divisor class group of rank one cites this paper.

Non-commutative crepant resolutions of toric singularities with divisor class group of rank one Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T07:27:21.059894Z

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Observation 3354b561-8457-4dfd-ac8a-af3e18726f76 · inbound

Categorical absorptions of cone singularities cites this paper.

Categorical absorptions of cone singularities Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T02:36:05.453030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.