K-stability and space sextic curves of genus three
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866910406180601856 |
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| author | Cheltsov, Ivan Li, Oliver Ma'u, Sione Pinardin, Antoine |
| author_facet | Cheltsov, Ivan Li, Oliver Ma'u, Sione Pinardin, Antoine |
| contents | We study Fano threefolds that can be obtained by blowing up the three-dimensional projective space along a smooth curve of degree six and genus three. We produce many new K-stable examples of such threefolds, and we describe all finite groups that can act faithfully on them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07803 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | K-stability and space sextic curves of genus three Cheltsov, Ivan Li, Oliver Ma'u, Sione Pinardin, Antoine Algebraic Geometry 14J45, 14J30, 32Q20 We study Fano threefolds that can be obtained by blowing up the three-dimensional projective space along a smooth curve of degree six and genus three. We produce many new K-stable examples of such threefolds, and we describe all finite groups that can act faithfully on them. |
| title | K-stability and space sextic curves of genus three |
| topic | Algebraic Geometry 14J45, 14J30, 32Q20 |
| url | https://arxiv.org/abs/2404.07803 |