A simple criterion for the uniruledness of an orthogonal modular variety
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916658125209600 |
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| author | Barros, Ignacio |
| author_facet | Barros, Ignacio |
| contents | We exhibit a simple uniruledness criterion for general orthogonal modular varieties in terms of invariants of the corresponding lattice. As an application, we obtain the uniruledness of almost all Nikulin--Vinberg moduli spaces parameterizing projective K3 surfaces of Picard number at least 3 and fixed finite automorphism group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16201 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A simple criterion for the uniruledness of an orthogonal modular variety Barros, Ignacio Algebraic Geometry We exhibit a simple uniruledness criterion for general orthogonal modular varieties in terms of invariants of the corresponding lattice. As an application, we obtain the uniruledness of almost all Nikulin--Vinberg moduli spaces parameterizing projective K3 surfaces of Picard number at least 3 and fixed finite automorphism group. |
| title | A simple criterion for the uniruledness of an orthogonal modular variety |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2503.16201 |