Automorphisms of weighted projective hypersurfaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911910230753280 |
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| author | Esser, Louis |
| author_facet | Esser, Louis |
| contents | We prove several results concerning automorphism groups of quasismooth complex weighted projective hypersurfaces; these generalize and strengthen existing results for hypersurfaces in ordinary projective space. First, we prove in most cases that automorphisms extend to the ambient weighted projective space. We next provide a characterization of when the linear automorphism group is finite and find an explicit uniform upper bound on the size of this group. Finally, we describe the automorphisms of a generic quasismooth hypersurface with given weights and degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_07872 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Automorphisms of weighted projective hypersurfaces Esser, Louis Algebraic Geometry 14J50, 14J70 We prove several results concerning automorphism groups of quasismooth complex weighted projective hypersurfaces; these generalize and strengthen existing results for hypersurfaces in ordinary projective space. First, we prove in most cases that automorphisms extend to the ambient weighted projective space. We next provide a characterization of when the linear automorphism group is finite and find an explicit uniform upper bound on the size of this group. Finally, we describe the automorphisms of a generic quasismooth hypersurface with given weights and degree. |
| title | Automorphisms of weighted projective hypersurfaces |
| topic | Algebraic Geometry 14J50, 14J70 |
| url | https://arxiv.org/abs/2301.07872 |