Gemetry Seminar - 6 March 2020 , from 15:15 to 16:15 in room D'Antoni

Andreas Knutsen

University of Bergen

Moduli of polarized Enriques surfaces

Moduli spaces of polarized Enriques surfaces have several irreducible components, even if one fixes the degree of the polarization. I will present some results concerning these spaces. In particular I will answer a question of Gritsenko and Hulek concerning connectedness of the étale double covers from the moduli spaces of polarized Enriques surfaces to the moduli spaces of numerically polarized such surfaces, and I will give a way to determine all irreducible components of these moduli spaces.