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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.11666 |
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| _version_ | 1866912134435176448 |
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| author | Esser, Louis Li, Jennifer |
| author_facet | Esser, Louis Li, Jennifer |
| contents | We find sharp upper bounds on the order of the automorphism group of a hypersurface in complex projective space in every dimension and degree. In each case, we prove that the hypersurface realizing the upper bound is unique up to isomorphism and provide explicit generators for the automorphism group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11666 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hypersurfaces with large automorphism groups Esser, Louis Li, Jennifer Algebraic Geometry 14J50, 14J70 We find sharp upper bounds on the order of the automorphism group of a hypersurface in complex projective space in every dimension and degree. In each case, we prove that the hypersurface realizing the upper bound is unique up to isomorphism and provide explicit generators for the automorphism group. |
| title | Hypersurfaces with large automorphism groups |
| topic | Algebraic Geometry 14J50, 14J70 |
| url | https://arxiv.org/abs/2405.11666 |