Del Pezzo surfaces and Mori fiber spaces in positive characteristics
Tuesday, 2 October, 2018 - 10:30
Résumé :
Over the complex numbers, the structure of Mori fiber spaces
on threefolds is basically understood. This is not so in characteristic p>0,
mainly due to higher-dimensional generalizations of quasielliptic fibrations.
Here we show that the situation is not as complicated as expected: There
are no Mori fibrations on smooth threefolds whose generic fibers are
geometrically non-normal surfaces. This is a joint work with Andrea Fanelli.
Institution de l'orateur :
Heinrich-Heine-Universität Düsseldorf
Thème de recherche :
Algèbre et géométries
Salle :
4