Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T20:19:05.788270Z
Paper Citation Record · LEDGER
Numerical conditions for the boundedness of foliated surfaces
As of 23 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 3 inbound Pith citation observations for arXiv:2412.05986.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:58:06.919925Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T22:56:15.508362Z
Reference resolution
23 of 23 outbound references displayed
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- verified fuzzy19
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b7740ce0-1eb4-4150-9f98-9d92969f5440 · outbound
This paper cites Positivity of the Moduli Part.
Numerical conditions for the boundedness of foliated surfaces Positivity of the Moduli Part
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T20:19:05.545204Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 53a0f1c4-1efd-41a4-9983-7429a365fe07 · outbound
This paper cites Alexeev, Boundedness and K^2 for log surfaces, International Journal of Math.
Numerical conditions for the boundedness of foliated surfaces Alexeev, Boundedness and K^2 for log surfaces, International Journal of Math
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.260674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4fc04c96-e014-4f7f-8cee-37ee3ad7aeda · outbound
This paper cites Artin, Some numerical criteria for contractability of curves on algebraic surfaces, Amer.J.Math.
Numerical conditions for the boundedness of foliated surfaces Artin, Some numerical criteria for contractability of curves on algebraic surfaces, Amer.J.Math
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.244659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9d9f7fac-bccc-4404-bc85-6497fee7941b · outbound
This paper cites Birkar, P.
Numerical conditions for the boundedness of foliated surfaces Birkar, P
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.231397Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 920db2ba-4c74-458c-ab3f-0dcf9012b3a5 · outbound
This paper cites Birkar, Geometry of polarised varieties, Publ.Math.IHES 137 (2023), 47-105.
Numerical conditions for the boundedness of foliated surfaces Birkar, Geometry of polarised varieties, Publ.Math.IHES 137 (2023), 47-105
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.219071Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fd4a4e6f-6f17-47cc-8460-b994fd0cc127 · outbound
This paper cites Brunella, Birational Geometry of Foliations, IMPA Monographs 1 (2015), Springer Cham.
Numerical conditions for the boundedness of foliated surfaces Brunella, Birational Geometry of Foliations, IMPA Monographs 1 (2015), Springer Cham
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.206507Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a351852f-015d-4d32-87bf-4be99c0a0741 · outbound
This paper cites Chen, Boundedness of minimal partial du Val resolutions of canonical surface foliations, Mathematische Annalen 381 (2021), 557-573.
Numerical conditions for the boundedness of foliated surfaces Chen, Boundedness of minimal partial du Val resolutions of canonical surface foliations, Mathematische Annalen 381 (2021), 557-573
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.194635Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 83a540e1-7986-4865-bd6a-11fa8813ec51 · outbound
This paper cites Minimal model program for algebraically integrable adjoint foliated structures.
Numerical conditions for the boundedness of foliated surfaces Minimal model program for algebraically integrable adjoint foliated structures
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T20:19:05.710456Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39383c78-1186-4297-81b6-f3c5de9d89f8 · outbound
This paper cites Cascini and C.
Numerical conditions for the boundedness of foliated surfaces Cascini and C
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T20:19:05.714525Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 81b34769-19a9-46f6-b91a-532a986a83c0 · outbound
This paper cites Cascini and C.
Numerical conditions for the boundedness of foliated surfaces Cascini and C
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.181418Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 143517a8-9b9d-429b-aa3b-310748d8709c · outbound
This paper cites MMP for algebraically integrable foliations.
Numerical conditions for the boundedness of foliated surfaces MMP for algebraically integrable foliations
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T20:19:05.834936Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9a40f28a-5649-4be7-8951-d7c30cbb9c64 · outbound
This paper cites Druel, Codimension 1 foliations with numerically trivial canonical class on singular spaces, Duke Math.J.
Numerical conditions for the boundedness of foliated surfaces Druel, Codimension 1 foliations with numerically trivial canonical class on singular spaces, Duke Math.J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.168510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1d0ef780-c4da-4d7c-83b7-2af7d5d23208 · outbound
This paper cites Fujino, Minimal model theory for log surfaces, Publ.Res.Inst.Math.Sci.
Numerical conditions for the boundedness of foliated surfaces Fujino, Minimal model theory for log surfaces, Publ.Res.Inst.Math.Sci
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.152916Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c07530f7-aaa7-41f4-8f3c-37f1700cf698 · outbound
This paper cites Hacon and A.
Numerical conditions for the boundedness of foliated surfaces Hacon and A
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.140468Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 28eee2e4-6e2a-4a7c-84be-c0c87812da54 · outbound
This paper cites Kollár and T.
Numerical conditions for the boundedness of foliated surfaces Kollár and T
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.128349Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e61df890-e3bf-44cf-840b-bd6358b03011 · outbound
This paper cites Kollár and S.
Numerical conditions for the boundedness of foliated surfaces Kollár and S
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.113827Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 67d1ff5e-dbe7-4050-bac8-ad06cfc76ac8 · outbound
This paper cites Kollár, Towards moduli of singular varieties, Compositio Mathematica 56 (1985), no.
Numerical conditions for the boundedness of foliated surfaces Kollár, Towards moduli of singular varieties, Compositio Mathematica 56 (1985), no
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.100543Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1e5b2488-2c08-4a77-8419-6c37bb94d19e · outbound
This paper cites Langer, Chern classes of reflexive sheaves on normal surfaces, Math.Z.
Numerical conditions for the boundedness of foliated surfaces Langer, Chern classes of reflexive sheaves on normal surfaces, Math.Z
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.085952Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 967e1103-93b5-4893-9226-1d3626acc41a · outbound
This paper cites McQuillan, Canonical models of foliations, Pure Appl.Math.Q.
Numerical conditions for the boundedness of foliated surfaces McQuillan, Canonical models of foliations, Pure Appl.Math.Q
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.069653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ffe7ebbc-a04a-4c23-b8a9-840b06a2e2dd · outbound
This paper cites Reid, Young person's guide to canonical singularities, Proceedings of Symposia in Pure Mathematics 46 (1987), 345-414.
Numerical conditions for the boundedness of foliated surfaces Reid, Young person's guide to canonical singularities, Proceedings of Symposia in Pure Mathematics 46 (1987), 345-414
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.053942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8de40388-834e-4bc9-a6a5-1fe38f123616 · outbound
This paper cites Sakai, Weil divisors on normal surfaces, Duke Math.J.
Numerical conditions for the boundedness of foliated surfaces Sakai, Weil divisors on normal surfaces, Duke Math.J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.037890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1dffe0bf-b016-4d04-887a-faf843bc033d · outbound
This paper cites Spicer and R.
Numerical conditions for the boundedness of foliated surfaces Spicer and R
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.020906Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 605c60c3-b63c-40fa-b636-2b49fe607338 · outbound
This paper cites Xiao, Fibered algebraic surfaces with low slope, Math.Ann.
Numerical conditions for the boundedness of foliated surfaces Xiao, Fibered algebraic surfaces with low slope, Math.Ann
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T20:19:06.003023Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
Observation ff285358-da9d-47d8-9766-b547acfacf6a · inbound
Canonical Models of Adjoint Foliated Structures on Surfaces cites this paper.
Canonical Models of Adjoint Foliated Structures on Surfaces Numerical conditions for the boundedness of foliated surfaces
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:58:06.919925Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f6dd8bd-b536-4501-8daf-42d357e55c9f · inbound
Effective positivity of Hodge bundles and applications cites this paper.
Effective positivity of Hodge bundles and applications Numerical conditions for the boundedness of foliated surfaces
Reference 68
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T04:40:11.020786Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f473b4d1-aa37-40e7-86f4-97c601f7f170 · inbound
Birational boundedness of stable families cites this paper.
Birational boundedness of stable families Numerical conditions for the boundedness of foliated surfaces
Reference 104
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T22:56:15.528354Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.