Séminaire Algèbre Géométrie Algébrique Topologie Algébrique :
Le 30 janvier 2025 à 10:00 - salle 430
Présentée par Pan Iván - Universidad de la República
On the Gauss map of codimension 1 foliations in a projective space
If F is a codimension 1 foliation in the complex projective space P^n of dimension n, the Gauss map of F is the rational map which to a general point p ∈ P^n associates the projective hyperplane tangent to the leaf of F at p. Following a recent work by Alcántara, Cerveau and Lins Neto, we make some remarks on such a map in the case where it is birational. This is a joint work with L. G. Mendes and V. Cesca Filho.