Automorphisms of prime power order of weighted hypersurfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917409016774656 |
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| author | Liendo, Alvaro Palomino, Ana Julisa |
| author_facet | Liendo, Alvaro Palomino, Ana Julisa |
| contents | We study automorphisms of quasi-smooth hypersurfaces in weighted projective spaces, extending classical results for smooth hypersurfaces in projective space to the weighted setting. We establish effective criteria for when a power of a prime number can occur as the order of an automorphism, and we derive explicit bounds on the possible prime orders. A key role is played by a weighted analogue of the classical Klein hypersurface, which we show realizes the maximal prime order of an automorphism under suitable arithmetic conditions. Our results generalize earlier work by González-Aguilera and Liendo. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13538 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Automorphisms of prime power order of weighted hypersurfaces Liendo, Alvaro Palomino, Ana Julisa Algebraic Geometry 14J70, 14J50 We study automorphisms of quasi-smooth hypersurfaces in weighted projective spaces, extending classical results for smooth hypersurfaces in projective space to the weighted setting. We establish effective criteria for when a power of a prime number can occur as the order of an automorphism, and we derive explicit bounds on the possible prime orders. A key role is played by a weighted analogue of the classical Klein hypersurface, which we show realizes the maximal prime order of an automorphism under suitable arithmetic conditions. Our results generalize earlier work by González-Aguilera and Liendo. |
| title | Automorphisms of prime power order of weighted hypersurfaces |
| topic | Algebraic Geometry 14J70, 14J50 |
| url | https://arxiv.org/abs/2507.13538 |