Moduli of curves on Enriques surfaces
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866929258678452224 |
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| author | Ciliberto, Ciro Dedieu, Thomas Galati, Concettina Knutsen, Andreas Leopold |
| author_facet | Ciliberto, Ciro Dedieu, Thomas Galati, Concettina Knutsen, Andreas Leopold |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1902_07142 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Moduli of curves on Enriques surfaces Ciliberto, Ciro Dedieu, Thomas Galati, Concettina Knutsen, Andreas Leopold Algebraic Geometry 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. |
| title | Moduli of curves on Enriques surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1902.07142 |