Some families of projective varieties uniformized by the 10-dimensional complex ball
Samuel Boissiere
(Univ. Poitiers - France)

Abstract. In a famous paper, Allock, Carlson and Toledo described the moduli space of cubic threefolds as the arithmetic quotient of the complementary of a hyperplane arrangement in the 10-dimensional complex ball. I will present an interpretation of this moduli space as the one parametrizing a family of order three nonsymplectic automorphisms on hyperkaehler manifolds deformation equivalent to the Hilbert square of a K3 surface. This is a collaboration with Chiara Camere and Alessandra Sarti.

Algebraic Geometry Seminar, in the framework of MIUR Excellence Project 2018-2022 Mat@Tov, CUPE83C18000100006