Druel, Stéphane - Some remarks on regular foliations with numerically trivial canonical class

epiga:3743 - Épijournal de Géométrie Algébrique, 1 septembre 2017, Volume 1
Some remarks on regular foliations with numerically trivial canonical class

Auteurs : Druel, Stéphane

In this article, we first describe codimension two regular foliations with numerically trivial canonical class on complex projective manifolds whose canonical class is not numerically effective. Building on a recent algebraicity criterion for leaves of algebraic foliations, we then address regular foliations of small rank with numerically trivial canonical class on complex projective manifolds whose canonical class is pseudo-effective. Finally, we confirm the generalized Bondal conjecture formulated by Beauville in some special cases.


Source : oai:arXiv.org:1610.00754
Volume : Volume 1
Publié le : 1 septembre 2017
Déposé le : 27 juin 2017
Mots-clés : Mathematics - Algebraic Geometry,37F75


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