Integral Picard group of moduli of polarized K3 surfaces

Author:

Andrea Di Lorenzo, Roberto Fringuelli, Angelo Vistoli

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-05-11 16:00:00

Abstract

We compute the integral Picard group of the moduli stack of polarized K3 surfaces of fixed degree whose singularities are at most rational double points. We also compute the integral Picard group of the stack of quasi-polarized K3 surfaces, and of the stacky period domain.

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