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.

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