Automorphisms of rigid hypersurfaces with separable variables
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...
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| Main Author | |
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| Format | Journal Article |
| Language | English |
| Published |
12.07.2024
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| Subjects | |
| Online Access | Get full text |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Trushin, Anton |
| Author_xml | – sequence: 1 givenname: Anton surname: Trushin fullname: Trushin, Anton |
| BackLink | https://doi.org/10.48550/arXiv.2407.09235$$DView paper in arXiv |
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| Snippet | 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... |
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| SubjectTerms | Mathematics - Algebraic Geometry Mathematics - Rings and Algebras |
| Title | Automorphisms of rigid hypersurfaces with separable variables |
| URI | https://arxiv.org/abs/2407.09235 |
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