Cubic fourfolds containing highly singular hyperplane sections
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914287283339264 |
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| author | Marquand, Lisa Viktorova, Sasha |
| author_facet | Marquand, Lisa Viktorova, Sasha |
| contents | We construct five irreducible divisors in the moduli space of complex cubic fourfolds parametrising smooth cubic fourfolds that contain highly singular hyperplane sections. We prove that each is not a Noether-Lefschetz (or Hassett) divisor, utilising the computational method developed by Addington-Auel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20778 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cubic fourfolds containing highly singular hyperplane sections Marquand, Lisa Viktorova, Sasha Algebraic Geometry 14J70, 14J10, 14J17 We construct five irreducible divisors in the moduli space of complex cubic fourfolds parametrising smooth cubic fourfolds that contain highly singular hyperplane sections. We prove that each is not a Noether-Lefschetz (or Hassett) divisor, utilising the computational method developed by Addington-Auel. |
| title | Cubic fourfolds containing highly singular hyperplane sections |
| topic | Algebraic Geometry 14J70, 14J10, 14J17 |
| url | https://arxiv.org/abs/2601.20778 |