1. No category

S EMINARIO
DE
G EOMETR ÍA
Lunes, 6 de julio de 2015
15:00 h., Aula Naranja (ICMat, Campus de Cantoblanco)
Claudia Reynoso Alcántara
Universidad de Guanajuato
Classification of Foliations on CP2 of
degree 3 with Degenerate Singularities
Resumen:
The aim of the talk is to construct locally closed, irreducible, non-singular
algebraic subvarieties of the space of foliations on CP2 of degree 3 which parametrize foliations with a special degenerate singularity. With this we prove
that there are only two foliations with isolated singularities with automorphism
group of dimension two, the maximum possible dimension. Finally we classify,
using this construction and the Hilbert scheme of points of CP2 , foliations of degree 3 with only one singular point.
Joint work with Ramón Ronzón-Lavie.
ICMAT CSIC-UAM-UC3M-UCM