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arXiv · 1506.02607

Generic stabilisers for actions of reductive groups

Benjamin Martin
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Abstract

Let $G$ be a reductive algebraic group over an algebraically closed field and let $V$ be a quasi-projective $G$-variety. We prove that the set of points $v\in V$ such that ${\rm dim}(G_v)$ is minimal and $G_v$ is reductive is open. We also prove some results on the existence of principal stabilisers in an appropriate sense.

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Benjamin Martin. 2015-06-08. Generic stabilisers for actions of reductive groups. https://arxiv.org/abs/1506.02607

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