Singular foliations with trivial canonical class

Details Singular foliations with trivial canonical class Singular foliations with trivial canonical class

2011-07-07

arxiv.org/abs/1107.1538v3

Mathematics

Algebraic Geometry

48 pages. Major revision. The content of Sections 4 and 5 of the previous versions have been moved to 'The classification of f

Scientific paper

This paper is devoted to describe the structure of singular codimension one foliations with numerically trivial canonical bundle on projective manifolds. To achieve this goal we study the reduction modulo $p$ of foliations, establish a criterium for uniruledness of projective manifolds, and investigate the deformation of free morphisms along foliations. This paper also contains new information about the structure of codimension one foliations on $\P^n$ of degree smaller than or equal to $2n-3$.

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