# Complex Geometry, Analysis and Foliations

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

## Foliations and webs inducing Galois coverings

2 Oct 2014, 11:30
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

Marcel NICOLAU (Barcelona)

### Description

Motivated by previous work of Cerveau and Déserti, we introduce the notion of Galois holomorphic foliation on the complex projective space as those whose Gauss map is a Galois covering when restricted to an appropriate Zariski open subset. We characterize Galois foliations on $\mathbb P^2$ belonging to certain classes, which include homogeneous foliations and we give a geometric characterization of Galois foliations in terms of their inflection divisor and their singularities.

### Presentation Materials

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