Voltar
Artigo Acesso aberto Produção Nacional Revisado por pares
BIBTEX RIS

Foliations with vanishing Chern classes

2013; Springer Science+Business Media; Volume: 44; Issue: 4 Linguagem: Inglês

10.1007/s00574-013-0032-8

ISSN

1678-7714

Autores

Jorge Vitório Pereira, Frédéric Touzet,

Tópico(s)

Advanced Algebra and Geometry

Resumo

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.

Referência(s)