Foliations with trivial canonical bundle on Fano 3-folds

Abstract

We classify the irreducible components of the space of foliations on Fano 3-folds with rank one Picard group. As a corollary we obtain a classification of holomorphic Poisson structures on the same class of 3-folds.

arXiv comment(v1) The content of this article was originally part of our other article Singular foliations with trivial canonical class (arXiv:1107.1538v2). (v2) Correction of misprints (v3) Statement of Theorem 9.1 has been corrected