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
2024
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.File in questo prodotto:
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Bulletin of London Math Soc - 2023 - Di Lorenzo - Integral Picard group of moduli of polarized K3 surfaces.pdf
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