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Generic stabilisers for actions of reductive groups

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 نشر من قبل Benjamin Martin
 تاريخ النشر 2015
  مجال البحث
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 تأليف Benjamin Martin




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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 $vin V$ 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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