Göpel Varieties
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909694576033792 |
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| author | Benedetti, Vladimiro Bolognesi, Michele Faenzi, Daniele Manivel, Laurent |
| author_facet | Benedetti, Vladimiro Bolognesi, Michele Faenzi, Daniele Manivel, Laurent |
| contents | We show that the Coble hypersurfaces, uniquely characterized by the remarkable property that their singular loci are an abelian surface and a Kummer threefold, respectively, belong to a family of hypersurfaces exhibiting similar behavior, but defined in various types of homogeneous spaces. With the help of Jordan-Vinberg theory, we show how these hypersurfaces can be parametrized by G{ö}pel type varieties inside projectivized representations of complex reflection groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22030 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Göpel Varieties Benedetti, Vladimiro Bolognesi, Michele Faenzi, Daniele Manivel, Laurent Algebraic Geometry We show that the Coble hypersurfaces, uniquely characterized by the remarkable property that their singular loci are an abelian surface and a Kummer threefold, respectively, belong to a family of hypersurfaces exhibiting similar behavior, but defined in various types of homogeneous spaces. With the help of Jordan-Vinberg theory, we show how these hypersurfaces can be parametrized by G{ö}pel type varieties inside projectivized representations of complex reflection groups. |
| title | Göpel Varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2506.22030 |