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.
|Number of pages||26|
|Journal||Pacific Journal of Mathematics|
|Publication status||Published - 21 Dec 2015|
- Quasiprojective GG-varieties
- generic stabilisers
- principal orbit type
- GG-complete reducibility
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- School of Natural & Computing Sciences, Mathematical Science - Personal Chair