G-Solid Rational Surfaces

Antoine Pinardin
University of Edinburgh

Date(s) : 30/11/2023   iCal
11 h 00 min - 12 h 00 min

A rational surface is a surface S such that there exists a birational map between S and the projective plane. Given a rational surface S and a finite subgroup G of Aut(S), we are interested in determining whether or not there exists a G-equivariant birational map between S and a G-conic bundle. If not, we say that S is G-solid. The Minimal Model Program for surfaces implies that it is enough to consider the case where S is a smooth Del Pezzo surface. After introducing this formalism, we will present the full classification of pairs (G,S) such that the surface S is G-solid. This classification is motivated by the long lasting problem of classifying the conjugacy classes of finite subgroups of the group of birational self maps of the projective space in dimension 2 and 3.

Salle de séminaire de l'I2M à St Charles


Retour en haut 

Secured By miniOrange