Paper Citation Record · LEDGER

Quasi-canonical lifting of projective varieties in positive characteristic

As of 8 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 1 inbound Pith citation observation for arXiv:2506.01345.

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pith.paper-citation-record.v1
2506.01345 v1

Coverage vector

measured 53 of 53 reference resolution

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Reference resolution

53 of 53 outbound references displayed

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Outbound references

Observation afed8c68-2826-408f-b418-6b1cf9dd5b54 · outbound

This paper cites Achinger, J.

Quasi-canonical lifting of projective varieties in positive characteristic Achinger, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.433800Z

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Observation a4ada7ea-adf3-4286-bffa-b9e29b111117 · outbound

This paper cites Achinger, J.

Quasi-canonical lifting of projective varieties in positive characteristic Achinger, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.425315Z

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Observation b51626f8-f893-449f-b798-9e2758df6868 · outbound

This paper cites Achinger and M.

Quasi-canonical lifting of projective varieties in positive characteristic Achinger and M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.415805Z

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This paper cites an unresolved cited work.

Quasi-canonical lifting of projective varieties in positive characteristic Unresolved cited work

Reference 4

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Observation 902fa0c9-78c0-4fea-be4d-1db225512824 · outbound

This paper cites Arabia, Relèvements des algèbres lisses et de leurs morphismes , Commentarii Mathematici Helvetici 76 (2001), 607–639.

Quasi-canonical lifting of projective varieties in positive characteristic Arabia, Relèvements des algèbres lisses et de leurs morphismes , Commentarii Mathematici Helvetici 76 (2001), 607–639

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.397401Z

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Observation ebf6c7f9-f33d-40cb-8728-bd16864292db · outbound

This paper cites Beauville, Endomorphisms of hypersurfaces and other manifolds , International Mathematics Research Notices 1 (2001), 53–58.

Quasi-canonical lifting of projective varieties in positive characteristic Beauville, Endomorphisms of hypersurfaces and other manifolds , International Mathematics Research Notices 1 (2001), 53–58

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.387659Z

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Observation 360d16f1-2abb-4a04-9ba3-b5e11cef2c7a · outbound

This paper cites Bernasconi, I.

Quasi-canonical lifting of projective varieties in positive characteristic Bernasconi, I

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.377419Z

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Observation 40a38ec1-965a-49a5-965d-c7f769cfc1db · outbound

This paper cites Bhatt and P.

Quasi-canonical lifting of projective varieties in positive characteristic Bhatt and P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.368487Z

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Observation 2e50458d-9132-46bc-b145-388b39eefe41 · outbound

This paper cites Perfectoid pure singularities.

Quasi-canonical lifting of projective varieties in positive characteristic Perfectoid pure singularities

Reference 9

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Observation 7ab23943-b95c-49c8-baa7-130ab431e9dd · outbound

This paper cites Bloch and K.

Quasi-canonical lifting of projective varieties in positive characteristic Bloch and K

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.360135Z

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Observation 45e290c4-ab0c-4bbd-891a-52af8e4f2142 · outbound

This paper cites Borger, The basic geometry of Witt vectors.

Quasi-canonical lifting of projective varieties in positive characteristic Borger, The basic geometry of Witt vectors

Reference 11

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Observation c33b6ee9-b5bb-4f52-ba1f-e33166de056f · outbound

This paper cites Borger and L.

Quasi-canonical lifting of projective varieties in positive characteristic Borger and L

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.341427Z

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Observation 5b1a5ee3-f5a5-4337-ad2f-ec27e6aa41ed · outbound

This paper cites Borger and L.

Quasi-canonical lifting of projective varieties in positive characteristic Borger and L

Reference 13

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Observation d92da1a8-7403-4f64-9ca5-01e25eb7acf2 · outbound

This paper cites Bourbaki, Commutative Algebra, Chap.

Quasi-canonical lifting of projective varieties in positive characteristic Bourbaki, Commutative Algebra, Chap

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.324371Z

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Observation 91a56590-7d7f-493d-8a0c-5c7b49578afe · outbound

This paper cites Deformations and Lifts of Calabi-Yau Varieties in Characteristic $p$.

Quasi-canonical lifting of projective varieties in positive characteristic Deformations and Lifts of Calabi-Yau Varieties in Characteristic $p$

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T11:57:25.780740Z

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Observation a822d779-25da-4a5a-877e-6eb4aeec0a9a · outbound

This paper cites Bruns and J.

Quasi-canonical lifting of projective varieties in positive characteristic Bruns and J

Reference 16

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Observation 3a1f64b1-e17f-4a26-8170-3741dbd33876 · outbound

This paper cites Dupuy, Positivity and lifts of the Frobenius , Math.

Quasi-canonical lifting of projective varieties in positive characteristic Dupuy, Positivity and lifts of the Frobenius , Math

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.306282Z

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Observation efb844ea-3b9f-4708-847b-84e6e7b3819c · outbound

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Quasi-canonical lifting of projective varieties in positive characteristic Unresolved cited work

Reference 18

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Observation e0ab2381-c6e7-4f6c-8545-ce9d32018fa3 · outbound

This paper cites Varieties in positive characteristic with numerically flat log cotangent bundle.

Quasi-canonical lifting of projective varieties in positive characteristic Varieties in positive characteristic with numerically flat log cotangent bundle

Reference 19

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Quasi-canonical lifting of projective varieties in positive characteristic Unresolved cited work

Reference 20

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Observation 8f56fecb-c52e-402a-9893-cf778b1ce07c · outbound

This paper cites Görtz and T.

Quasi-canonical lifting of projective varieties in positive characteristic Görtz and T

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.279115Z

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Observation 0bbff761-1f01-42a9-b5a6-5ad61a1541b2 · outbound

This paper cites Görtz and T.

Quasi-canonical lifting of projective varieties in positive characteristic Görtz and T

Reference 22

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Observation b9990057-5243-4120-ba8e-bbc31966fd7c · outbound

This paper cites Grothendieck, Élements de Géométrie Algébrique III , Publications Math.

Quasi-canonical lifting of projective varieties in positive characteristic Grothendieck, Élements de Géométrie Algébrique III , Publications Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.261527Z

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Observation c2aa9b7b-ee01-43b2-9a24-7279a97e8f9e · outbound

This paper cites Grothendieck, Élements de Géométrie Algébrique IV, Quatriéme partie , Publications Math.

Quasi-canonical lifting of projective varieties in positive characteristic Grothendieck, Élements de Géométrie Algébrique IV, Quatriéme partie , Publications Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.253241Z

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Observation ab8ec21b-5139-4bb1-8062-00507c5e767c · outbound

This paper cites Grothendieck, Théorie des Topos et Cohomologie Etale des Schémas.

Quasi-canonical lifting of projective varieties in positive characteristic Grothendieck, Théorie des Topos et Cohomologie Etale des Schémas

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.244697Z

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Observation 206c334c-a262-4475-8988-3f9bac682f8b · outbound

This paper cites Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, 52 Springer (1983).

Quasi-canonical lifting of projective varieties in positive characteristic Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, 52 Springer (1983)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.235272Z

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Observation f17ece7f-dd95-4532-b327-e29f206749cd · outbound

This paper cites Illusie and M.

Quasi-canonical lifting of projective varieties in positive characteristic Illusie and M

Reference 27

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Observation 0c8ec07d-5431-4fab-8d6c-ac696c7c79a6 · outbound

This paper cites Illusie, Grothendieck’s existence theorem in formal geometry , Fundamental Algebraic Geometry, Mathematical Surveys and Monographs 123 AMS 2005.

Quasi-canonical lifting of projective varieties in positive characteristic Illusie, Grothendieck’s existence theorem in formal geometry , Fundamental Algebraic Geometry, Mathematical Surveys and Monographs 123 AMS 2005

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.216325Z

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Observation 48a1131f-b660-43f3-bdbb-212e0f507cc8 · outbound

This paper cites Illusie, Complexe Cotangent et Déformations I , Springer, Berlin, Heidelberg, 1971.

Quasi-canonical lifting of projective varieties in positive characteristic Illusie, Complexe Cotangent et Déformations I , Springer, Berlin, Heidelberg, 1971

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.206417Z

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Observation 71265d26-b381-4be5-a837-67974a6d74ca · outbound

This paper cites Ishiro and K.

Quasi-canonical lifting of projective varieties in positive characteristic Ishiro and K

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.195982Z

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Observation a0f71866-93de-4187-ae71-b64874082cc1 · outbound

This paper cites Kanemitsu and K.

Quasi-canonical lifting of projective varieties in positive characteristic Kanemitsu and K

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.186307Z

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Observation 28892167-9179-4b7e-8837-f716b80e2804 · outbound

This paper cites Kato, Log smooth deformation theory , Tohoku Math.

Quasi-canonical lifting of projective varieties in positive characteristic Kato, Log smooth deformation theory , Tohoku Math

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.176757Z

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Observation c2c106c2-eb5a-440d-a43b-4051fa72ce6f · outbound

This paper cites Katz, Serre-Tate local moduli , Algebraic surfaces (Orsay, 1976–78), Lecture Notes in Mat h., 868, Springer, Berlin-New York, 1981, 138–202.

Quasi-canonical lifting of projective varieties in positive characteristic Katz, Serre-Tate local moduli , Algebraic surfaces (Orsay, 1976–78), Lecture Notes in Mat h., 868, Springer, Berlin-New York, 1981, 138–202

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.166408Z

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Observation d91f30c5-0a3d-4d9e-9ca7-ceb50e1b1375 · outbound

This paper cites Kollár, Quotients by ﬁnite equivalence relations , In Current developments in algebraic geometry, volume 59 of Math.

Quasi-canonical lifting of projective varieties in positive characteristic Kollár, Quotients by ﬁnite equivalence relations , In Current developments in algebraic geometry, volume 59 of Math

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.156637Z

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Observation b7ae915d-49e4-456a-acbe-8c757f3fbdf3 · outbound

This paper cites Laface and S.

Quasi-canonical lifting of projective varieties in positive characteristic Laface and S

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.146520Z

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Observation 09da060b-01e5-481a-80a1-c7f8faa4ac3d · outbound

This paper cites Lurie, Higher topos theory , Annals of Mathematics Studies 170, Princeton University Press, Princeton, NJ, 2009.

Quasi-canonical lifting of projective varieties in positive characteristic Lurie, Higher topos theory , Annals of Mathematics Studies 170, Princeton University Press, Princeton, NJ, 2009

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.136377Z

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Observation 19f96919-c0e7-42d2-9eba-9e650afe8267 · outbound

This paper cites Matsumoto, Good reduction criterion for K3 surfaces , Math.

Quasi-canonical lifting of projective varieties in positive characteristic Matsumoto, Good reduction criterion for K3 surfaces , Math

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.126991Z

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Observation f1cf218a-788e-44b5-b6b3-585b23fa19f9 · outbound

This paper cites Matsumura, Commutative ring theory , Cambridge University Press.

Quasi-canonical lifting of projective varieties in positive characteristic Matsumura, Commutative ring theory , Cambridge University Press

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.116698Z

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Observation 9dff77fe-112a-4b80-ac6e-54b856cef1d2 · outbound

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Quasi-canonical lifting of projective varieties in positive characteristic Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:57:26.105976Z

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Observation 1e567c7d-7740-4149-96b3-a5c94542f66a · outbound

This paper cites Messing, The crystals associated to Barsotti-Tate groups: with appl ications to Abelian schemes , Lecture Notes in Math., 264 Springer, 1972.

Quasi-canonical lifting of projective varieties in positive characteristic Messing, The crystals associated to Barsotti-Tate groups: with appl ications to Abelian schemes , Lecture Notes in Math., 264 Springer, 1972

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.096788Z

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Observation e470a116-e413-4d65-b4f2-1403114a905d · outbound

This paper cites Mumford, Abelian varieties , Tata Institute of Fundamental Research Studies in Mathema tics 5, Oxford University Press, London, 1970.

Quasi-canonical lifting of projective varieties in positive characteristic Mumford, Abelian varieties , Tata Institute of Fundamental Research Studies in Mathema tics 5, Oxford University Press, London, 1970

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.087192Z

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Observation c4b95b3f-3489-4eb4-b34e-a7b8e8cc62bb · outbound

This paper cites Mustaţă and V.

Quasi-canonical lifting of projective varieties in positive characteristic Mustaţă and V

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.077220Z

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Observation c1cfa275-484e-4f40-8239-dcc1260a4f4c · outbound

This paper cites Nakkajima, On inﬁnitesimal liftings and degenerations of Hodge-de Rha m spectral sequences , J.

Quasi-canonical lifting of projective varieties in positive characteristic Nakkajima, On inﬁnitesimal liftings and degenerations of Hodge-de Rha m spectral sequences , J

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.068291Z

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Observation 6faa64f6-b2b7-4f22-80ae-2b63993918fe · outbound

This paper cites Nitsure, Construction of Hilbert and Quot schemes , Fundamental Algebraic Geometry, Mathematical Surveys and Monographs 123 AMS 2005.

Quasi-canonical lifting of projective varieties in positive characteristic Nitsure, Construction of Hilbert and Quot schemes , Fundamental Algebraic Geometry, Mathematical Surveys and Monographs 123 AMS 2005

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.058132Z

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Observation d0ec49ff-a7fd-498a-88f9-caa002d8293c · outbound

This paper cites Ogus, Lectures on logarithmic geometry , Cambridge studies in advanced mathematics 178, Cambridge Uni- versity Press.

Quasi-canonical lifting of projective varieties in positive characteristic Ogus, Lectures on logarithmic geometry , Cambridge studies in advanced mathematics 178, Cambridge Uni- versity Press

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.048302Z

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Quasi-canonical lifting of projective varieties in positive characteristic Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:57:26.038891Z

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Observation 1ab10fb9-2365-402e-939f-d3e9c850e90e · outbound

This paper cites Shimomoto, On the semicontinuity problem of ﬁbers and global F -regularity, Communications in Algebra 45 (2017), 1057–1075.

Quasi-canonical lifting of projective varieties in positive characteristic Shimomoto, On the semicontinuity problem of ﬁbers and global F -regularity, Communications in Algebra 45 (2017), 1057–1075

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.029692Z

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Observation fd67a56a-2fce-417a-b211-da321dbf4ac9 · outbound

This paper cites Shimomoto and E.

Quasi-canonical lifting of projective varieties in positive characteristic Shimomoto and E

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:26.019596Z

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Quasi-canonical lifting of projective varieties in positive characteristic Unresolved cited work

Reference 49

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Quasi-canonical lifting of projective varieties in positive characteristic Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:57:25.998352Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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This paper cites Swanson and C.

Quasi-canonical lifting of projective varieties in positive characteristic Swanson and C

Reference 51

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This paper cites Xin, On W2-lifting of Frobenius of algebraic surfaces , Collect.

Quasi-canonical lifting of projective varieties in positive characteristic Xin, On W2-lifting of Frobenius of algebraic surfaces , Collect

Reference 52

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Observation 2b2beb4f-6aa2-41e4-863b-f64b2e04c5f3 · outbound

This paper cites Zdanowicz, Liftability of singularities and their Frobenius morphism modulo p2, International Mathematics Research Notices 2018 (2017), 4513–4577.

Quasi-canonical lifting of projective varieties in positive characteristic Zdanowicz, Liftability of singularities and their Frobenius morphism modulo p2, International Mathematics Research Notices 2018 (2017), 4513–4577

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:57:25.968302Z

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Pith citing papers

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{\delta}-rings, perfectoid towers, and lim Cohen-Macaulay sequences cites this paper.

{\delta}-rings, perfectoid towers, and lim Cohen-Macaulay sequences Quasi-canonical lifting of projective varieties in positive characteristic

Reference 23

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