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Foliations with trivial canonical bundle on Fano 3-folds
Loray F., Pereira J. V., Touzet F.
http://hal.archives-ouvertes.fr/hal-00694155
Preprint, Working Paper, ...
Mathematics/Algebraic Geometry
Mathematics/Complex Variables
Mathematics/Symplectic Geometry
Foliations with trivial canonical bundle on Fano 3-folds
Frank Loray 1, Jorge Vitorio Pereira 2, Frederic Touzet 1
1:  Institut de Recherche Mathématique de Rennes (IRMAR)
http://irmar.univ-rennes1.fr/
CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne
France
2:  Instituto de Matematica Pura e Aplicada (IMPA)
http://www.impa.br
CNPq
Estrada Dona Castorina, 110. Horto - Rio de Janeiro, RJ. 22460-320
Brazil
Géométrie analytique
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.
English
2011-12-16

The content of this article was originally part of our other article Singular foliations with trivial canonical class (arXiv:1107.1538v2)

Fulltext link: 
http://fr.arXiv.org/abs/1112.3871