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

Brunella's Local Alternative

1 Oct 2014, 09:20
30m
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

Marianna RAVARA VAGO (Rennes)

Description

It is a local version of a conjecture of Brunella which says that a codimension 1 foliation in the projective three-dimensional space P^3 either has an invariant algebraic surface or each leaf is sub-foliated by a one-dimensional foliation. In this local take, we have the following "local conjecture": a germ of holomorphic codimension 1 foliation in C^3,0 either possesses a germ of analytic invariant surface, or there exists a neighborhood of the origin wherein each leaf contains a germ of analytic curve. We give a positive answer to this local conjecture for certain types of foliations.

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