Monday, 6 February, 2012 - 11:30
Prénom de l'orateur :
Alvaro
Nom de l'orateur :
Liendo
Résumé :
A T-variety is a normal variety endowed with a regular action of the algebraic torus T. In the first part of this talk, we present a combinatorial description of rational affine T-varieties of complexity one. This description generalizes the usual description of ane toric varieties via polyhedral cones. Next, we give a criterion, in terms of this combinatorial language, as to when a T-variety X admits an SL2-action that is normalized by T. As an application, we obtain the well known classication of quasihomogeneous SL2-threefolds due to Popov.
This is a joint work with Ivan Arzhantsev.
Institution de l'orateur :
Univ. Bern
Thème de recherche :
Algèbre et géométries
Salle :
04