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, and of its coarse moduli space. We also compute the integral Picard group of the stack of quasi-polarized K3 surfaces, and of the stacky period domain.

Integral Picard group of moduli of polarized K3 surfaces

Di Lorenzo, Andrea;Vistoli, Angelo
2023

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, and of its coarse moduli space. We also compute the integral Picard group of the stack of quasi-polarized K3 surfaces, and of the stacky period domain.
2023
Settore MAT/03 - Geometria
   Derived and underived algebraic stacks and applications
   Ministero dell'Università e della Ricerca

   Finanziamento individuale a supporto della ricerca di base
   Scuola Normale Superiore
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/137382
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