Given an ordinary differential equation A(x,y)dx + B(x,y)dy = 0, its solutions f(x,y) define a decomposition of the plane outside the zeros of A(x,y) and B(x,y) into regular curves. This is a prototype of a foliation, the leaves being the solutions of the given differential equation. In general, a foliation will be a generalization of this concept, i.e. instead of taking one equation, we take a system of equations, and to have solutions we demand an integrability condition. In this talk, I will introduce the concept of holomorphic foliation and give a characterization of regular foliations on rational surfaces.
Regular foliations on algebraic surfaces
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Nom de l'orateur
João Paulo Lindquist Figueredo
Etablissement de l'orateur
Institut Camille Jordan, Lyon
Date et heure de l'exposé
Lieu de l'exposé
salle des séminaires