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arXiv · 1902.07142

Moduli of curves on Enriques surfaces

Ciro Ciliberto·Thomas Dedieu·Concettina Galati·Andreas Leopold Knutsen
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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.

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Ciro Ciliberto, Thomas Dedieu, Concettina Galati, Andreas Leopold Knutsen. 2019-02-19. Moduli of curves on Enriques surfaces. https://doi.org/10.1016/j.aim.2020.107010

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