# Complex Geometry, Analysis and Foliations

29 September 2014 to 3 October 2014
International Center for Theoretical Physics
Europe/Paris timezone

## Kähler threefolds without subvarieties

1 Oct 2014, 10:00
1h
Adriatico Building, Kastler Lecture Hall (International Center for Theoretical Physics)

### Adriatico Building, Kastler Lecture Hall

#### International Center for Theoretical Physics

Strada Costiera, 11 I - 34151 Trieste Italy

### Speaker

Misha VERBITSKY (Moscow)

### Description

Let $M$ be a compact Kahler manifold without non-trivial complex subvarieties. Using Brunella's alternative for holomorphic foliations, Nadel's vanishing theorem and Demailly's regularization of positive currents, we prove that $M$ is a compact torus. This is a joint work with F. Campana and J.-P. Demailly.

### Presentation Materials

There are no materials yet.
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