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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2407.09235 |
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| _version_ | 1866911953598808064 |
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| author | Trushin, Anton |
| author_facet | Trushin, Anton |
| contents | Consider a polynomial F such that each variable appears in exactly one monomial. The hypersurface defined by the polynomial F is called a hypersurface with separable variables. A variety is called rigid if there are no nontrivial actions of the additive group of the ground field on it. If a variety is rigid, then it is known that in the automorphism group there exists a unique maximal torus. We describe the automorphism group of a rigid hypersurface with separable variables, in particular we show that it is a finite extension of the maximal torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09235 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Automorphisms of rigid hypersurfaces with separable variables Trushin, Anton Algebraic Geometry Rings and Algebras Consider a polynomial F such that each variable appears in exactly one monomial. The hypersurface defined by the polynomial F is called a hypersurface with separable variables. A variety is called rigid if there are no nontrivial actions of the additive group of the ground field on it. If a variety is rigid, then it is known that in the automorphism group there exists a unique maximal torus. We describe the automorphism group of a rigid hypersurface with separable variables, in particular we show that it is a finite extension of the maximal torus. |
| title | Automorphisms of rigid hypersurfaces with separable variables |
| topic | Algebraic Geometry Rings and Algebras |
| url | https://arxiv.org/abs/2407.09235 |