Torus Actions on Quotients of Affine SpacesArticle
Auteurs : Ana-Maria Brecan ; Hans Franzen
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Ana-Maria Brecan;Hans Franzen
We study the locus of fixed points of a torus action on a GIT quotient of a
complex vector space by a reductive complex algebraic group which acts
linearly. We show that, under the assumption that $G$ acts freely on the stable
locus, the components of the fixed point locus are again GIT quotients of
linear subspaces by Levi subgroups.