The birational geometry of Rg,2 and Prym-canonical divisorial strata

• Andrei Bud ^[1]
  1. [1] Institut für Mathematik, Goethe University Frankfurt, Germany Institut für Mathematik, Humboldt-Universität zu Berlin, Germany
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 30, Nº. 2, 2024, págs. 1-31
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We prove that the moduli space of double covers ramified at two points Rg,2 is uniruled for 3 ≤ g ≤ 6 and of general type for g ≥ 16. Furthermore, we consider Prymcanonical divisorial strata in the moduli space CnRg parametrizing n-pointed Prym curves, and we compute their classes in PicQ(CnRg).