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DAGA Seminar: Results on analytic classification of germs of holomorphic foliations

Mercoledi' 4 maggio 2011 - Jorge Mozo Fernandez

ARGOMENTI: Seminari

Mercoledi' 4 maggio 2011, ore 11.00, aula 1BC45
Jorge Mozo Fernandez (Valladolid)
"Results on analytic classification of germs of holomorphic foliations".

-Abstract
We shall review the main known results concerning the analytic classification of germs of codimension one, singular holomorphic foliations in dimension two and three. In dimension two, we shall focus in the classical works of J. Martinet and J.P. Ramis, in the reduced case, and in the works of Cerveau, Moussu, Meziani, Berthier, Sad and others, in the nilpotent case. In the quasi-homogeneous case, we shall mention the work of Y. Genzmer. The state-of-art of this subject in dimension three will be explained.
For, we shall recall the main concepts involved: reduction of singularities, existence of separatrices, and holonomy of the leaves, and how they are used in order to establish the results.

Rif. int. A. Bertapelle

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