Irrational Gushel-Mukai Threefolds

Giovedì 25 marzo 2021, ore 14:30, Giovanni Mongardi (Università di Bologna) terrà il seminario di Geometria dal titolo "Irrational Gushel-Mukai Threefolds".

Abstract
We construct an explicit complex smooth Fano threefold with Picard numer 1, index 1 and degree 10 (a Gushel-Mukai threefold) and prove that it is not rational by showing that its intermediate jacobian has a faithful $\mathrm{PSL}(2,F_{11})$ action. The construction is based on a very special double EPW sextic. This is joint work with O. Debarre.

 Per partecipare al seminario cliccare sul seguente Link identifier #identifier__79231-1Link
Link identifier #identifier__147071-1Link identifier #identifier__2056-2Link identifier #identifier__33912-3Link identifier #identifier__110571-4