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

accesso aperto

Tipologia: Published version
Licenza: Creative Commons
Dimensione 179.79 kB
Formato Adobe PDF
179.79 kB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/137382
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
  • OpenAlex ND
social impact