On the automorphisms of double EPW sextics |
| Pietro Beri |
| Université de Poitiers (France) |
| Abstract: |
| EPW sextics are a family of hypersurfaces in the projective space of dimension \[5\] that admits a double cover;; this double cover is a deformation of the Hilbert square of a \[K3\] surface, and thus a hyperkahler fourfold. I will present some examples of automorphisms of double EPW sextics. I will then provide an overview of the link with Gushel- Mukai varieties, showed by A. Iliev, L. Manivel and O. Debarre, and I will present some work in progress about the latter construction. |