Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
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| _version_ | 1866914694817644544 |
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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 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 $ϕ$-invariant of the polarization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1809_10569 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces Ciliberto, Ciro Dedieu, Thomas Galati, Concettina Knutsen, Andreas Leopold Algebraic Geometry 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 $ϕ$-invariant of the polarization. |
| title | Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1809.10569 |