Paper Citation Record · LEDGER

Smoothing Gorenstein toric Fano 3-folds

As of 12 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 1 inbound Pith citation observation for arXiv:2412.06500.

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pith.paper-citation-record.v1
2412.06500 v1

Coverage vector

measured 63 of 63 reference resolution

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Source: pith, observed 2026-08-07T11:00:22.231489Z

Reference resolution

63 of 63 outbound references displayed

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Outbound references

Observation 891236e4-a875-452e-acd4-a6fd050e21a0 · outbound

This paper cites Kasprzyk.

Smoothing Gorenstein toric Fano 3-folds Kasprzyk

Reference 1

Resolution: verified exact; doi, observed 2026-08-11T19:44:34.118723Z

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Observation 915f19cb-3330-43ba-b101-0224e5ce79c2 · outbound

This paper cites Minkowski sums and homogeneous deformat ions of toric varieties.

Smoothing Gorenstein toric Fano 3-folds Minkowski sums and homogeneous deformat ions of toric varieties

Reference 2

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Observation 6c719dbe-39a7-4501-be64-ccbc6dfa07e8 · outbound

This paper cites Inﬁnitesimal deformations and obstruct ions for toric singularities.

Smoothing Gorenstein toric Fano 3-folds Inﬁnitesimal deformations and obstruct ions for toric singularities

Reference 3

Resolution: verified exact; doi, observed 2026-08-11T19:44:34.106911Z

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Observation 6c40cde4-98ed-46e7-a484-c00d47ebd887 · outbound

This paper cites One parameter families containing three -dimensional toric Gorenstein singularities.

Smoothing Gorenstein toric Fano 3-folds One parameter families containing three -dimensional toric Gorenstein singularities

Reference 4

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Observation 41db30db-354f-4a81-a3dd-a3c78363fb9b · outbound

This paper cites Deforming Stanley–Reisner schemes.

Smoothing Gorenstein toric Fano 3-folds Deforming Stanley–Reisner schemes

Reference 5

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Observation 9ac70988-87db-4c1c-ac22-038e26a67079 · outbound

This paper cites Polyhedral divisors and algebraic torus actions.

Smoothing Gorenstein toric Fano 3-folds Polyhedral divisors and algebraic torus actions

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.678303Z

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Observation 2d7ea34a-d977-417c-af57-d60abfb950a3 · outbound

This paper cites The geometry of T - varieties.

Smoothing Gorenstein toric Fano 3-folds The geometry of T - varieties

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.666934Z

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Observation be10529c-58e5-4374-bc56-735dac5b7ca9 · outbound

This paper cites On the solutions of analytic equations.

Smoothing Gorenstein toric Fano 3-folds On the solutions of analytic equations

Reference 8

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Observation bd69f824-eb87-49b9-9a1a-e138254d2202 · outbound

This paper cites Lectures on deformations of singularities , volume 54.

Smoothing Gorenstein toric Fano 3-folds Lectures on deformations of singularities , volume 54

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.655140Z

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Observation 822e3d43-b8de-4672-ab3e-423ddae3c36b · outbound

This paper cites Hacon, a nd James McKernan.

Smoothing Gorenstein toric Fano 3-folds Hacon, a nd James McKernan

Reference 10

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Observation 760fbc0e-3661-48ea-b688-cc351fa69a5b · outbound

This paper cites On t he topology of Fano smoothings.

Smoothing Gorenstein toric Fano 3-folds On t he topology of Fano smoothings

Reference 11

Resolution: verified exact; doi, observed 2026-08-11T19:44:34.054405Z

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Observation 20fa28b2-1d87-430e-9f5d-b067e0bdc3c3 · outbound

This paper cites Quantum periods for 3-dimensional Fano manifolds.

Smoothing Gorenstein toric Fano 3-folds Quantum periods for 3-dimensional Fano manifolds

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T19:44:33.391643Z

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Observation d834f7d3-cfab-4135-873d-0c5c2497b097 · outbound

This paper cites Kasprzyk, Giuseppe Pitton, and Ketil Tveiten.

Smoothing Gorenstein toric Fano 3-folds Kasprzyk, Giuseppe Pitton, and Ketil Tveiten

Reference 13

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Observation d42be6f9-8163-4ca2-97cd-7864f2bd5b6d · outbound

This paper cites Mirro r symmetry and smoothing Gorenstein toric aﬃne 3-folds.

Smoothing Gorenstein toric Fano 3-folds Mirro r symmetry and smoothing Gorenstein toric aﬃne 3-folds

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.630827Z

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Observation 813d893f-e5e6-4f6c-9a82-99d0fc03894d · outbound

This paper cites How to make log structur es.

Smoothing Gorenstein toric Fano 3-folds How to make log structur es

Reference 15

Resolution: verified exact; doi, observed 2026-08-11T19:44:34.031046Z

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Observation ab2c1d74-3146-4cf6-bded-40d1ca6acbab · outbound

This paper cites De Loera, J¨ org Rambau, and Francisco Santos.

Smoothing Gorenstein toric Fano 3-folds De Loera, J¨ org Rambau, and Francisco Santos

Reference 16

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Observation c6409acd-9293-4b19-8894-874f0814bac3 · outbound

This paper cites Le probl` eme des modules locaux pour lesespaces C-analytiques compacts.

Smoothing Gorenstein toric Fano 3-folds Le probl` eme des modules locaux pour lesespaces C-analytiques compacts

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.617723Z

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Observation 436ab3e4-aac4-45b5-a2f2-5b5a2607ebca · outbound

This paper cites Commutative algebra, volume 150 of Graduate Texts in Mathematics.

Smoothing Gorenstein toric Fano 3-folds Commutative algebra, volume 150 of Graduate Texts in Mathematics

Reference 18

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Observation f3dd3540-b9e3-43aa-a540-00ce9d6cc286 · outbound

This paper cites Global smoothings of varieties with n ormal crossings.

Smoothing Gorenstein toric Fano 3-folds Global smoothings of varieties with n ormal crossings

Reference 19

Resolution: verified exact; doi, observed 2026-08-11T19:44:33.865360Z

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Observation c94eb84d-25bc-48ae-85e1-007992ed6679 · outbound

This paper cites Minimal model program for projective morphisms between complex analytic spaces.

Smoothing Gorenstein toric Fano 3-folds Minimal model program for projective morphisms between complex analytic spaces

Reference 20

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Observation a37c2b42-2e87-4f81-af60-9f73eb05fd01 · outbound

This paper cites Introduction to toric varieties , volume 131 of Annals of Mathematics Studies.

Smoothing Gorenstein toric Fano 3-folds Introduction to toric varieties , volume 131 of Annals of Mathematics Studies

Reference 21

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This paper cites A study in derived algebraic geometry.

Smoothing Gorenstein toric Fano 3-folds A study in derived algebraic geometry

Reference 22

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Observation 75b26cb7-92cd-486c-b462-5b18303683a2 · outbound

This paper cites Singular symplec tic spaces and holomorphic membranes.

Smoothing Gorenstein toric Fano 3-folds Singular symplec tic spaces and holomorphic membranes

Reference 23

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This paper cites Der Satz von Kuranishi f¨ ur kompakte komp lexe R¨ aume.

Smoothing Gorenstein toric Fano 3-folds Der Satz von Kuranishi f¨ ur kompakte komp lexe R¨ aume

Reference 24

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Observation 966a93ff-a860-4125-be16-732fa5bc06ec · outbound

This paper cites Mirror symmetry via logar ithmic degeneration data.

Smoothing Gorenstein toric Fano 3-folds Mirror symmetry via logar ithmic degeneration data

Reference 25

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Observation 51745ee4-08a3-4a56-8f90-691afaee636a · outbound

This paper cites ´El´ ements de g´ eom´ etrie alg´ ebrique.

Smoothing Gorenstein toric Fano 3-folds ´El´ ements de g´ eom´ etrie alg´ ebrique

Reference 26

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Observation aea07c8e-e5c5-4698-ada9-f919f0779d44 · outbound

This paper cites Local cohomology.Springer-Verlag, Berlin-New York,, 1967.

Smoothing Gorenstein toric Fano 3-folds Local cohomology.Springer-Verlag, Berlin-New York,, 1967

Reference 27

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This paper cites The Cayley trick, lifting subdivisions and the Bohne–Dress theorem on zonotopal tilings.

Smoothing Gorenstein toric Fano 3-folds The Cayley trick, lifting subdivisions and the Bohne–Dress theorem on zonotopal tilings

Reference 28

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This paper cites Complexe cotangent et d´ eformations.

Smoothing Gorenstein toric Fano 3-folds Complexe cotangent et d´ eformations

Reference 29

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Observation 146f180d-dbc1-4efd-98ab-c4f6efea96a7 · outbound

This paper cites Mutations of Laurent polynomials an d ﬂat families with toric ﬁbers.

Smoothing Gorenstein toric Fano 3-folds Mutations of Laurent polynomials an d ﬂat families with toric ﬁbers

Reference 30

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This paper cites Deformations of rational T -varieties.

Smoothing Gorenstein toric Fano 3-folds Deformations of rational T -varieties

Reference 31

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This paper cites The Cayley trick for tropical hypersurfaces with a view toward Ricardian economics.

Smoothing Gorenstein toric Fano 3-folds The Cayley trick for tropical hypersurfaces with a view toward Ricardian economics

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.544388Z

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Observation 0a439c2a-e94e-4a82-81ef-6208d9a1693f · outbound

This paper cites Essentials of tropical combinatorics , volume 219 of Graduate Studies in Mathematics.

Smoothing Gorenstein toric Fano 3-folds Essentials of tropical combinatorics , volume 219 of Graduate Studies in Mathematics

Reference 33

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This paper cites Vertex algebras an d the formal loop space.

Smoothing Gorenstein toric Fano 3-folds Vertex algebras an d the formal loop space

Reference 34

Resolution: verified exact; doi, observed 2026-08-11T19:44:33.773834Z

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Observation 768583cd-29fb-45e7-b12d-3c585716cc49 · outbound

This paper cites Flips, ﬂops, minimal models, etc.

Smoothing Gorenstein toric Fano 3-folds Flips, ﬂops, minimal models, etc

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.532383Z

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Observation 1ce73e5a-ffac-4493-b03d-55cac5b238f9 · outbound

This paper cites On the locally complete families of complex analytic structures.

Smoothing Gorenstein toric Fano 3-folds On the locally complete families of complex analytic structures

Reference 36

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Observation a2c0d1ca-0166-41c2-88d7-7711cc166daa · outbound

This paper cites Birkh¨ auser Verlag, Basel, 1991.

Smoothing Gorenstein toric Fano 3-folds Birkh¨ auser Verlag, Basel, 1991

Reference 37

Resolution: verified exact; doi, observed 2026-08-11T19:44:33.759829Z

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Observation 196a72f8-ce1f-4c6b-978b-c5849d4ca4ce · outbound

This paper cites Commutative ring theory , volume 8 of Cambridge Studies in Advanced Mathematics.

Smoothing Gorenstein toric Fano 3-folds Commutative ring theory , volume 8 of Cambridge Studies in Advanced Mathematics

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.505880Z

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Observation 8793829f-167a-4d72-a554-a789fc101072 · outbound

This paper cites Simultaneous minimal models of homogeneous toric deformations.

Smoothing Gorenstein toric Fano 3-folds Simultaneous minimal models of homogeneous toric deformations

Reference 39

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Observation 9278bf37-0f3b-4a21-80a8-da832b076952 · outbound

This paper cites Deformations of Toric Varieties via Minkowski Sum Decompositions of Polyhedral Complexes.

Smoothing Gorenstein toric Fano 3-folds Deformations of Toric Varieties via Minkowski Sum Decompositions of Polyhedral Complexes

Reference 40

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Observation 08fcf716-bc98-44a0-a380-2e8fff1e174a · outbound

This paper cites Smoothing Fano 3-folds.

Smoothing Gorenstein toric Fano 3-folds Smoothing Fano 3-folds

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.475411Z

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Observation 5b348d6d-f55e-4dc0-8095-1fe75d4d63b3 · outbound

This paper cites Algebraic spaces and stacks , volume 62 of American Mathematical Society Colloquium Publications.

Smoothing Gorenstein toric Fano 3-folds Algebraic spaces and stacks , volume 62 of American Mathematical Society Colloquium Publications

Reference 42

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This paper cites Some examples of non-smoothable Gore nstein Fano toric threefolds.

Smoothing Gorenstein toric Fano 3-folds Some examples of non-smoothable Gore nstein Fano toric threefolds

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.460955Z

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Observation 6ec79421-e988-4fcc-a183-57a5bec33012 · outbound

This paper cites Homogeneous deformations of toric pa irs.

Smoothing Gorenstein toric Fano 3-folds Homogeneous deformations of toric pa irs

Reference 44

Resolution: verified exact; doi, observed 2026-08-11T19:44:33.717591Z

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Observation 7684ea77-c39f-422e-9207-ae620871fa62 · outbound

This paper cites Lagrangian torus fibration models of Fano threefolds.

Smoothing Gorenstein toric Fano 3-folds Lagrangian torus fibration models of Fano threefolds

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:44:33.705725Z

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Observation d60f6c47-56ca-456c-ab4e-c7a70e2bd7fb · outbound

This paper cites Cracked polytopes and Fano toric comple te intersections.

Smoothing Gorenstein toric Fano 3-folds Cracked polytopes and Fano toric comple te intersections

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.447319Z

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Observation b4014d09-12c4-42a7-83e0-509c059bbcb6 · outbound

This paper cites From cracked polytopes to Fano threefol ds.

Smoothing Gorenstein toric Fano 3-folds From cracked polytopes to Fano threefol ds

Reference 47

Resolution: verified exact; doi, observed 2026-08-11T19:44:33.678380Z

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Observation 55fc66c0-7a75-44f8-b24d-6ea9397af87e · outbound

This paper cites Canonical 3-folds.

Smoothing Gorenstein toric Fano 3-folds Canonical 3-folds

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.432554Z

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Observation 2d16151c-84e5-4450-a835-250c71624f3a · outbound

This paper cites an unresolved cited work.

Smoothing Gorenstein toric Fano 3-folds Unresolved cited work

Reference 49

Resolution: verified exact; doi, observed 2026-08-11T19:44:33.666043Z

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Observation 5ce7f65c-1059-4591-b551-f19d3cffea47 · outbound

This paper cites Automorphism group of a toric variety.

Smoothing Gorenstein toric Fano 3-folds Automorphism group of a toric variety

Reference 50

Resolution: metadata mismatch; local_arxiv, observed 2026-08-11T19:44:33.654134Z

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Observation 5521badd-b2b1-4b94-a785-75cc8fa3f525 · outbound

This paper cites The Cayley trick and triangulations of products of simplices.

Smoothing Gorenstein toric Fano 3-folds The Cayley trick and triangulations of products of simplices

Reference 51

Resolution: verified exact; doi, observed 2026-08-11T19:44:33.637680Z

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Observation 427ccd91-aa8d-486d-8cc3-782ba5b8e7b1 · outbound

This paper cites Deformations of theta divi sors and the rank 4 quadrics problem.

Smoothing Gorenstein toric Fano 3-folds Deformations of theta divi sors and the rank 4 quadrics problem

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:44:34.418872Z

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Observation 95887adc-7cc2-4552-a12d-1ac39e518c0f · outbound

This paper cites an unresolved cited work.

Smoothing Gorenstein toric Fano 3-folds Unresolved cited work

Reference 53

Resolution: verified exact; doi, observed 2026-08-11T19:44:33.690484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation af5d4206-a249-43bb-a2f8-73143e689bc7 · outbound

This paper cites On the Newton polytope of the resultan t.

Smoothing Gorenstein toric Fano 3-folds On the Newton polytope of the resultan t

Reference 54

Resolution: verified exact; doi, observed 2026-08-11T19:44:33.624273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 17c84741-530b-43dc-aea5-e39f34bae76a · outbound

This paper cites an unresolved cited work.

Smoothing Gorenstein toric Fano 3-folds Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:44:34.397280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7f7e9dca-0f7f-458d-81ba-db3113ad6cf1 · outbound

This paper cites Deformations of pairs ( X, L) when X is singular.

Smoothing Gorenstein toric Fano 3-folds Deformations of pairs ( X, L) when X is singular

Reference 56

Resolution: verified exact; doi, observed 2026-08-11T19:44:33.612265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d62bf6ce-0654-4d39-81ea-bec8a986e837 · outbound

This paper cites Stacks Project.

Smoothing Gorenstein toric Fano 3-folds Stacks Project

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-11T19:44:33.562860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation feba004f-8c0e-4047-ab12-22aabf34e160 · outbound

This paper cites doi:10.1007/978-1-4612-5350-1.

Smoothing Gorenstein toric Fano 3-folds doi:10.1007/978-1-4612-5350-1

Reference 1995

Resolution: unresolved; no resolver link, observed 2026-08-11T19:44:33.417255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2d412d4-cb52-440f-b4cd-598bf5e921c9 · outbound

This paper cites an unresolved cited work.

Smoothing Gorenstein toric Fano 3-folds Unresolved cited work

Reference 2002

Resolution: verified exact; raw_fallback, observed 2026-08-11T19:44:34.214962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 95cac5d8-b6c8-46d7-82ec-d209e3c9d762 · outbound

This paper cites an unresolved cited work.

Smoothing Gorenstein toric Fano 3-folds Unresolved cited work

Reference 2006

Resolution: unresolved; no resolver link, observed 2026-08-11T19:44:33.369482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f5ea411-0dd3-46df-b784-ca1952d855de · outbound

This paper cites an unresolved cited work.

Smoothing Gorenstein toric Fano 3-folds Unresolved cited work

Reference 2010

Resolution: verified exact; doi, observed 2026-08-11T19:44:34.094594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 594ba706-df0c-4e01-8816-ef143eacd8e5 · outbound

This paper cites an unresolved cited work.

Smoothing Gorenstein toric Fano 3-folds Unresolved cited work

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-11T19:44:33.467384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 020a5034-16b5-45be-b690-c2b50a54610b · outbound

This paper cites an unresolved cited work.

Smoothing Gorenstein toric Fano 3-folds Unresolved cited work

Reference 2020

Resolution: verified exact; doi, observed 2026-08-11T19:44:33.728585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation ef1adaca-f69d-4c97-96f7-3e9e3e5a9373 · inbound

Cohomology of hypersurfaces of weighted projective space and the intersection form on $H^2$ cites this paper.

Cohomology of hypersurfaces of weighted projective space and the intersection form on $H^2$ Smoothing Gorenstein toric Fano 3-folds

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:00:22.235419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.