Generic stabilisers for actions of reductive groups

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Abstract

In this paper we prove some results about properties of generic stabilisers. Most previous work in this area has dealt with affine varieties and/or fields of characteristic zero only. Our results hold for quasi-projective varieties and in arbitrary characteristic, although in some cases we get stronger results in characteristic zero. We need no assumptions on the existence of or properties of closed orbits, and we allow G to be non-connected.
Original languageEnglish
Pages (from-to)397-422
Number of pages26
Journal Pacific Journal of Mathematics
Volume279
Issue number1-2
DOIs
Publication statusPublished - 21 Dec 2015

Keywords

  • Quasiprojective GG-varieties
  • generic stabilisers
  • principal orbit type
  • GG-complete reducibility

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