Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T17:42:48.435555Z
Paper Citation Record · LEDGER
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$
As of 11 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2501.12041.
A citation records a reference. It does not transfer a finding from one paper to another.
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Pith citing papers itemized under the disclosed page cap.
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Source: cited_works
Reference resolution
40 of 40 outbound references displayed
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External citation measurements
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Outbound references
Observation 881a162c-a3ac-47ed-bef0-e4217597298f · outbound
This paper cites Positivity of the Moduli Part.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Positivity of the Moduli Part
Reference 1
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- unresolved
- no resolver link, observed 2026-08-10T17:42:48.222546Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4089f2de-fabe-4a15-827c-f1198a444a7e · outbound
This paper cites Boundedness and K^2 for log surfaces.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Boundedness and K^2 for log surfaces
Reference 2
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- raw_fallback, observed 2026-08-10T17:42:49.225056Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 35441a0e-21a3-4f43-a665-9dd93d8a3c5f · outbound
This paper cites The moduli b-divisor of an lc-trivial fibration.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ The moduli b-divisor of an lc-trivial fibration
Reference 3
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- raw_fallback, observed 2026-08-10T17:42:49.211984Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c47c6b7f-92c2-4fd8-8f79-1723abed8f75 · outbound
This paper cites Singular toric Fano varieties.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Singular toric Fano varieties
Reference 4
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- raw_fallback, observed 2026-08-10T17:42:49.199003Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ac6ddcfb-2d58-474f-b488-1354171f0a57 · outbound
This paper cites Existence of M inimal M odels for V arieties of L og G eneral T ype.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Existence of M inimal M odels for V arieties of L og G eneral T ype
Reference 5
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- raw_fallback, observed 2026-08-10T17:42:49.186068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 635b599e-4ea3-4c3b-a7b6-15dd7ec6f298 · outbound
This paper cites Étale Fundamental Groups of Strongly F-Regular Schemes.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Étale Fundamental Groups of Strongly F-Regular Schemes
Reference 6
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- raw_fallback, observed 2026-08-10T17:42:49.172781Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 691cf846-3ca9-4e40-b5bf-bf157595a042 · outbound
This paper cites On the canonical bundle formula in positive characteristic.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ On the canonical bundle formula in positive characteristic
Reference 7
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- verified exact
- local_arxiv, observed 2026-08-10T17:42:48.612270Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c163b067-4161-4c5c-b793-d05ff68662de · outbound
This paper cites Existence of flips and minimal models for 3-folds in char p.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Existence of flips and minimal models for 3-folds in char p
Reference 8
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- no resolver link, observed 2026-08-10T17:42:48.269836Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb1f8836-71ff-4d5d-b51b-c58b6b5a4aea · outbound
This paper cites Anti-pluricanonical systems on Fano varieties.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Anti-pluricanonical systems on Fano varieties
Reference 9
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- raw_fallback, observed 2026-08-10T17:42:49.159457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 32aba911-be98-4fc6-8ad8-f495bb33d48e · outbound
This paper cites Singularities of linear systems and boundedness of F ano varieties.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Singularities of linear systems and boundedness of F ano varieties
Reference 10
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- raw_fallback, observed 2026-08-10T17:42:49.145260Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c92aaa93-2639-4f8c-850d-b04f7e9c5ff3 · outbound
This paper cites Bounding geometrically integral del Pezzo surfaces.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Bounding geometrically integral del Pezzo surfaces
Reference 11
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- raw_fallback, observed 2026-08-10T17:42:49.132619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c3f80c15-cc47-4c23-98d6-d822af8ed9d6 · outbound
This paper cites F-singularities via alterations.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ F-singularities via alterations
Reference 12
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- local_arxiv, observed 2026-08-10T17:42:48.560717Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e178570a-9116-4d2d-810a-939aa2493edc · outbound
This paper cites Existence of Mori fibre spaces for 3-folds in char p.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Existence of Mori fibre spaces for 3-folds in char p
Reference 13
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation fa72ccdb-2674-4237-8239-b9bfc477bd6e · outbound
This paper cites Minimal model program for algebraically integrable foliations and generalized pairs.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Minimal model program for algebraically integrable foliations and generalized pairs
Reference 14
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- no resolver link, observed 2026-08-10T17:42:48.302282Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d2c2f83-97e3-41ca-9a1e-8cc5dcd77a6b · outbound
This paper cites Resolution of singularities of threefolds in positive characteristic.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Resolution of singularities of threefolds in positive characteristic
Reference 15
- Resolution
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 36ef7564-8327-40d0-886a-08926fbbf1c0 · outbound
This paper cites Resolution of singularities of threefolds in positive characteristic.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Resolution of singularities of threefolds in positive characteristic
Reference 16
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 95a2de73-d29a-4f02-849a-b104a4d0f47c · outbound
This paper cites Resolution of Singularities.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Resolution of Singularities
Reference 17
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 98d7ab3f-fcec-4aa6-ae81-7cf880a08859 · outbound
This paper cites On the Boundedness of Anti-Canonical Volumes of Singular Fano3-Folds in Characteristic p> 5.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ On the Boundedness of Anti-Canonical Volumes of Singular Fano3-Folds in Characteristic p> 5
Reference 18
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- raw_fallback, observed 2026-08-10T17:42:49.067329Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation fc175cf6-b19e-4900-9474-ee658f0af32c · outbound
This paper cites an unresolved cited work.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Unresolved cited work
Reference 19
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation bbdc3931-a820-40a1-8d1b-60eae4857716 · outbound
This paper cites On semi-ampleness of the moduli part, 12 2022.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ On semi-ampleness of the moduli part, 12 2022
Reference 20
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 48bddbea-1029-4d5d-993f-60fd093a0e96 · outbound
This paper cites \'El\'ements de g\'eom\'etrie alg\'ebrique : IV.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ \'El\'ements de g\'eom\'etrie alg\'ebrique : IV
Reference 21
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8cd44aa6-c0bd-480b-a6c0-b9f7e5c7f8f2 · outbound
This paper cites Hacon, James McKernan, and Chenyang Xu.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Hacon, James McKernan, and Chenyang Xu
Reference 22
- Resolution
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- raw_fallback, observed 2026-08-10T17:42:49.004388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8b72cd7e-f15d-4de7-8d7e-fe4126377597 · outbound
This paper cites Hacon, James McKernan, and Chenyang Xu.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Hacon, James McKernan, and Chenyang Xu
Reference 23
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- raw_fallback, observed 2026-08-10T17:42:48.987308Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1e8685b2-3150-4d35-9398-f5614bfc4c0c · outbound
This paper cites Foundations of tight closure theory, 2022.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Foundations of tight closure theory, 2022
Reference 24
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- raw_fallback, observed 2026-08-10T17:42:48.971962Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation bb7bb326-c474-4451-853b-645a9097e5a4 · outbound
This paper cites F-regular and F-pure rings vs.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ F-regular and F-pure rings vs
Reference 25
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8a9e6daa-d6f6-4d10-a512-0bfa168b620b · outbound
This paper cites Hacon and Chenyang Xu.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Hacon and Chenyang Xu
Reference 26
- Resolution
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- raw_fallback, observed 2026-08-10T17:42:48.926460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1076e69f-f829-4920-9440-bf73adc47c09 · outbound
This paper cites On generalized lc pairs with $\mathrm{\textbf b}$-log abundant nef part.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ On generalized lc pairs with $\mathrm{\textbf b}$-log abundant nef part
Reference 27
- Resolution
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- no resolver link, observed 2026-08-10T17:42:48.370821Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39de2dff-b1fd-4c4d-8d3c-70d2117d0d83 · outbound
This paper cites Subadjunction of log canonical divisors, ii.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Subadjunction of log canonical divisors, ii
Reference 28
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- raw_fallback, observed 2026-08-10T17:42:48.908243Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 11f03e6c-1975-4220-8812-11a36ca1b2aa · outbound
This paper cites Characterizations of Regular Local Rings of Characteristic p.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Characterizations of Regular Local Rings of Characteristic p
Reference 29
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- raw_fallback, observed 2026-08-10T17:42:48.883095Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation dd656a6f-d5a4-44fd-88a7-da31739d13a6 · outbound
This paper cites F-singularities in families.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ F-singularities in families
Reference 30
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- local_arxiv, observed 2026-08-10T17:42:48.508306Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2feca92f-acdc-4dc5-80f0-b9d949cfcebf · outbound
This paper cites Singularities of general fibers and the LMMP.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Singularities of general fibers and the LMMP
Reference 31
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- raw_fallback, observed 2026-08-10T17:42:48.859893Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation fbd9a1db-7547-4db7-9539-6ba078bc58be · outbound
This paper cites Boundedness of weak Fano threefolds with fixed Gorenstein index in positive characteristic.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Boundedness of weak Fano threefolds with fixed Gorenstein index in positive characteristic
Reference 32
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- local_arxiv, observed 2026-08-10T17:42:48.487188Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b3f244a9-93f5-45f0-8097-22c1020df348 · outbound
This paper cites Centers of F-purity.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Centers of F-purity
Reference 33
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- raw_fallback, observed 2026-08-10T17:42:48.838808Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2a6f59cb-d33b-4a47-9fb0-d287827ce168 · outbound
This paper cites F-adjunction.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ F-adjunction
Reference 34
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- raw_fallback, observed 2026-08-10T17:42:48.814489Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 6e3d854b-6788-40e2-891d-b150e36465ab · outbound
This paper cites General hyperplane sections of threefolds in positive characteristic.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ General hyperplane sections of threefolds in positive characteristic
Reference 35
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- raw_fallback, observed 2026-08-10T17:42:48.787536Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation a6bb432b-e243-4d87-89ff-626926f3ee68 · outbound
This paper cites Bertini theorems for F-singularities.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Bertini theorems for F-singularities
Reference 36
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- raw_fallback, observed 2026-08-10T17:42:48.757086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e79d7d2b-0079-40e4-8841-85fed9f7e15b · outbound
This paper cites Semiample perturbations for log canonical varieties over an F-finite field containing an infinite perfect field.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Semiample perturbations for log canonical varieties over an F-finite field containing an infinite perfect field
Reference 37
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- raw_fallback, observed 2026-08-10T17:42:48.735294Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation aefae27c-1823-4085-ac77-e1139d089e8a · outbound
This paper cites On the characterization of abelian varieties for log pairs in zero and positive characteristic.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ On the characterization of abelian varieties for log pairs in zero and positive characteristic
Reference 38
- Resolution
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- raw_fallback, observed 2026-08-10T17:42:48.702851Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c85c20bc-3bab-4831-8f88-021cb8f5f316 · outbound
This paper cites On the canonical bundle formula and log abundance in positive characteristic.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ On the canonical bundle formula and log abundance in positive characteristic
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:48.679603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 91eb2b7d-a2b7-40b6-bcf7-c8de99c5e2e9 · outbound
This paper cites Fano varieties with large Seshadri constants.
On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$ Fano varieties with large Seshadri constants
Reference 40
- Resolution
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- raw_fallback, observed 2026-08-10T17:42:48.656367Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Pith citing papers
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