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Results tagged with algebraic-groups
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user 459205
Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.
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Horospherical type of a spherical variety
In the following, I will fix $k$ a characteristic zero algebraically closed field, and $G$ a connected reductive group over $k$, $B$ a Borel subgroup of $G$, $T\subseteq B$ a maximal torus, $X$ a $G$- …
- 121
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Quasisplit forms of wonderful varieties
I will assume that $k$ is a characteristic $0$ non-archimedean field. A classical result of Tits [T] states that a quasisplit connected reductive group $G$ over $k$ is classified up to strict isogeny …
- 12.9k
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The local structure theorem for spherical varieties under quasi-split group action
I want to understand a simplified version of the general $k$-local structure theorem proved in the paper "Reductive group actions":
For $k$ a characteristic zero algebraically closed field, $G$ a conn …
- 121
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answer
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Rationality of quasi-elementary group actions
I am learning the paper https://arxiv.org/pdf/1604.01005.pdf "Reductive group actions" by Knop and Krotz.
They defined that a linear k-algebraic group $H$ with unipotent radical $H_{u}$ is quasi-eleme …
- 15.5k