Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

Pfaffian Cubic Fourfolds and non-trivial Brauer Classes

Michele Bolognesi

created by risa on 19 Mar 2015

26 mar 2015 -- 16:00

Aula 211, Dip. Matematica, Università "Roma Tre", Roma


In this talk I will showcase a general class of smooth rational cubic fourfolds X containing a plane whose associated quadric surface bundle does not have a rational section. Equivalently, the Brauer class B of the even Clifford algebra over the discriminant cover (a K3 surface S of degree 2) associated to the quadric bundle, is nontrivial. These fourfolds provide nontrivial examples verifying Kuznetsov's conjecture on the rationality of cubic fourfolds containing a plane. I will then explore the connections between this construction and the existence of one-apparent-double-point surfaces inside the cubic 4fold.

Credits | Cookie policy | HTML 5 | CSS 2.1