On foliations with nef anti-canonical bundle

2015/07/06 by Druel, Stéphane · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1507.01348

Abstract

In this paper we prove that the anti-canonical bundle of a holomorphic foliation F on a complex projective manifold cannot be nef and big if either F is regular, or F has a compact leaf. Then we address codimension one regular foliations whose anti-canonical bundle is nef with maximal Kodaira dimension.

Cited by

• Volumes of foliations birationally bounded by algebraically integrable families
• A Kawamata--Miyaoka type inequality for Fano varieties of arbitrary Picard number

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