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Foliation adjunction

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Preprint 21 Dec 2024Embargo end date: 01 Jan 2023Publisher:Springer Science and Business Media LLCJournal:Mathematische Annalen, volume 391, pages 5,695-5,727 (issn: 0025-5831, eissn: 1432-1807,

Authors: Paolo Cascini; Calum Spicer;

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

pmid: 40166456

pmc: PMC11954749

arXiv: http://arxiv.org/abs/2309.10697

Foliation adjunction

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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.

Related Organizations

Imperial College London
United Kingdom
King's College London
United Kingdom

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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Funded by

UKRI| Minimal Models of Foliations, UKRI| The Moduli Space of Foliated Surfaces