941 articles – 1212 references  [version française]
HAL: hal-00694155, version 1

Detailed view  Export this paper
Foliations with trivial canonical bundle on Fano 3-folds
Frank Loray 1, Jorge Vitorio Pereira 2, Frederic Touzet 1
(2011-12-16)

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.
1:  Institut de Recherche Mathématique de Rennes (IRMAR)
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
2:  Instituto de Matematica Pura e Aplicada (IMPA)
CNPq
Géométrie analytique
Mathematics/Algebraic Geometry

Mathematics/Complex Variables

Mathematics/Symplectic Geometry
Fulltext link: 
http://fr.arXiv.org/abs/1112.3871