NDLI: Foliations with vanishing Chern classes

Content Provider	Springer Nature Link
Author	Pereira, Jorge Vitório Touzet, Frédéric
Copyright Year	2013
Abstract	In this paper we aim at the description of foliations having tangent sheaf T F with c 1 (T F) = c 2(T F) = 0 on non-uniruled projective manifolds. We prove that the universal covering of the ambient manifold splits as a product, and that the Zariski closure of a general leaf of F is an Abelian variety. It turns out that the analytic type of the Zariski closures of leaves may vary from leaf to leaf. We discuss how this variation is related to arithmetic properties of the tangent sheaf of the foliation.
Ending Page	754
Page Count	24
Starting Page	731
File Format	PDF
ISSN	16787544
e-ISSN	16787714
Journal	Bulletin of the Brazilian Mathematical Society
Issue Number	4
Volume Number	44
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-12-14
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Chern class Singularities of holomorphic vector fields and foliations Theoretical, Mathematical and Computational Physics Holomorphic foliations and vector fields Mathematics Foliations; geometric theory foliation transverse structure
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Foliations with vanishing Chern classes