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arXiv · 2201.04879

Torus Actions on Quotients of Affine Spaces

Ana-Maria Brecan·Hans Franzen
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Abstract

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.

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Ana-Maria Brecan, Hans Franzen. 2022-01-13. Torus Actions on Quotients of Affine Spaces. https://doi.org/10.46298/epiga.2023.10073

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