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Foliations with trivial canonical bundle on Fano 3‐folds
Author(s) -
Loray Frank,
Pereira Jorge Vitório,
Touzet Frédéric
Publication year - 2013
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201100354
Subject(s) - mathematics , fano plane , corollary , canonical bundle , pure mathematics , holomorphic function , rank (graph theory) , poisson distribution , bundle , combinatorics , statistics , materials science , composite material
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.
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