Grzegorz Kapustka
Title: Symmetric locally free resolutions of symmetric sheaves
Abstract:
We shall discuss symmetric locally free resolutions of a given two-torsion or theta characteristic
sheaf on a curve. We shall see that different such symmetric resolutions give rise to the same
Brauer classes so to birational quadric bundles. As an application we will prove that a general
one-nodal Gushel-Mukai fourfold is birational to a Verra fourfold and find more unexpected pairs
of birational varieties. This is a joint work in progress with G. Bini, M. Kapustka, R. Laterveer.