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Foliation adjunction

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Preprint 21 Dec 2024Embargo end date: 01 Jan 2023 English Publisher:Springer Science and Business Media LLCJournal:Mathematische Annalen, volume 391, pages 5,695-5,727 (issn: 0025-5831, eissn: 1432-1807, Copyright policy )Funded by:UKRI | Minimal Models of Foliati..., UKRI | The Moduli Space of Folia...
Authors: Paolo Cascini; Calum Spicer;

doi: 10.1007/s00208-024-03067-5 , 10.48550/arxiv.2309.10697

pmid: 40166456

pmc: PMC11954749

arXiv: 2309.10697

Foliation adjunction

Abstract

Abstract We present an adjunction formula for foliations on varieties and we consider applications of the adjunction formula to the cone theorem for rank one foliations and the study of foliation singularities.

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Keywords

Mathematics - Algebraic Geometry, 14E30, 37F75, FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, Minimal model program (Mori theory, extremal rays), Algebraic Geometry (math.AG), Article

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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hybrid