We give an explicit description of the irreducible components of the modulispaces of polarized Enriques surfaces in terms of decompositions of thepolarization as an effective sum of isotropic classes. We prove that infinitelymany of these components are unirational (resp. uniruled). In particular, thisapplies to components of arbitrarily large genus $g$ and $phi$-invariant ofthe polarization.

Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces

Ciro Ciliberto;Thomas Dedieu;Concettina Galati;Andreas Leopold Knutsen
2018

Abstract

We give an explicit description of the irreducible components of the modulispaces of polarized Enriques surfaces in terms of decompositions of thepolarization as an effective sum of isotropic classes. We prove that infinitelymany of these components are unirational (resp. uniruled). In particular, thisapplies to components of arbitrarily large genus $g$ and $phi$-invariant ofthe polarization.
Mathematics - Algebraic Geometry
Mathematics - Algebraic Geometry
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/20.500.11770/307316
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact