On automorphism groups of smooth hypersurfaces
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866915127381458944 |
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| author | Yang, Song Yu, Xun Zhu, Zigang |
| author_facet | Yang, Song Yu, Xun Zhu, Zigang |
| contents | We show that smooth hypersurfaces in complex projective spaces with automorphism groups of maximum size are isomorphic to Fermat hypersurfaces, with a few exceptions. For the exceptions, we give explicitly the defining equations and automorphism groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09505 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On automorphism groups of smooth hypersurfaces Yang, Song Yu, Xun Zhu, Zigang Algebraic Geometry We show that smooth hypersurfaces in complex projective spaces with automorphism groups of maximum size are isomorphic to Fermat hypersurfaces, with a few exceptions. For the exceptions, we give explicitly the defining equations and automorphism groups. |
| title | On automorphism groups of smooth hypersurfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2405.09505 |