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 behavioris related to existence of Enriques–Fano threefolds and to curves with nodal Prym-canonical model.
Moduli of curves on Enriques surfaces
Ciro Ciliberto;Thomas Dedieu;Concettina Galati;Andreas Leopold Knutsen
2020-01-01
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 behavioris related to existence of Enriques–Fano threefolds and to curves with nodal Prym-canonical model.File in questo prodotto:
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