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

We give an explicit description of the irreducible components of the moduli spaces of polarized Enriques surfaces in terms of decompositions of the polarization as an effective sum of isotropic classes. We prove that infinitely many of these components are unirational (resp. uniruled). In particular...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2023-01
Main Authors: Ciliberto, Ciro, Dedieu, Thomas, Galati, Concettina, Andreas Leopold Knutsen
Format: Article
Language:English
Subjects:
Polarization
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We give an explicit description of the irreducible components of the moduli spaces of polarized Enriques surfaces in terms of decompositions of the polarization as an effective sum of isotropic classes. We prove that infinitely many of these components are unirational (resp. uniruled). In particular, this applies to components of arbitrarily large genus \(g\) and \(\phi\)-invariant of the polarization.
ISSN:2331-8422
DOI:10.48550/arxiv.1809.10569