Some remarks on regular foliations with numerically trivial canonical class

Abstract

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.

20 pages

Cited by in corpus (2)

• Codimension one foliations with numerically trivial canonical class on singular spaces
• Constructions and classifications of projective Poisson varieties