Michal Kapustka
Title: Nodal Gushel Mukai fourfolds
Abstract:
Gushel Mukai fourfold i.e. fourfolds obtained as quadratic sections of a
cone over the Grassmannian G(2,5) are among the most interesting
Fano fourfolds, in particular from the point of view of rationality problems.
We discuss the geometry of nodal Gushel Mukai fourfolds. We prove that
such fourfolds are birational to Verra fourfolds (quadric sections of a cone
over P^2xP^2) and study associated quadric fibration structures on them.
This is joint work in progress with G. Bini, G. Kapustka and R. Laterveer.