22 apr 2015 -- 14:30
Aula di Consiglio, Dip. Matematica, Università "La Sapienza", Roma
We explore a connection between smooth projective varieties X of dimension n with an ample divisor H such that Hn=10 and KX=-(n-2)H and a class of sextic hypersurfaces of dimension 4 considered by Eisenbud, Popescu, and Walter (EPW sextics). This connection makes possible the construction of moduli spaces for these varieties and opens the way to the study of their period maps. This is work in progress in collaboration with Alexander Kuznetsov.