Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Fano varieties and EPW sextics

Olivier Debarre

created by risa on 17 Apr 2015

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.

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