Surfaces isogenous to a product of curves, moduli spaces and finite groups

Date/heure
24 mars 2014
14:00 - 15:00

Oratrice ou orateur
Matteo Penegini

Catégorie d'évènement
Séminaire de géométrie complexe


Résumé

In this talk we shall present a group theoretical method to calculate the number of connected components of the moduli space of surfaces of general type isogenous to a product of curves. Then, we give then asymptotic growth of the number of these components for certain families of surfaces isogenous to a product with group either an alternating group, or a symmetric group or an abelian group or finally 2-groups. With our methods we get a better lower bound than the one obtained by Manetti. (jww. S.Garion/M.Loenne).