Foliations with trivial canonical bundle on Fano 3-folds
Algebraic Geometry
2012-12-20 v3 Complex Variables
Symplectic Geometry
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.
Cite
@article{arxiv.1112.3871,
title = {Foliations with trivial canonical bundle on Fano 3-folds},
author = {Frank Loray and Jorge Vitorio Pereira and Frederic Touzet},
journal= {arXiv preprint arXiv:1112.3871},
year = {2012}
}
Comments
(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