Moduli of curves on Enriques surfaces
Algebraic Geometry
2024-03-01 v3
Abstract
We compute the number of moduli of all irreducible components of the moduli space of smooth curves on Enriques surfaces. In most cases, the moduli maps to the moduli space of Prym curves are generically injective or dominant. Exceptional behaviour is related to existence of Enriques--Fano threefolds and to curves with nodal Prym-canonical model.
Cite
@article{arxiv.1902.07142,
title = {Moduli of curves on Enriques surfaces},
author = {Ciro Ciliberto and Thomas Dedieu and Concettina Galati and Andreas Leopold Knutsen},
journal= {arXiv preprint arXiv:1902.07142},
year = {2024}
}
Comments
Final version, to appear in Advances in Mathematics