Ana-Maria Brecan ; Hans Franzen - Torus Actions on Quotients of Affine Spaces

epiga:10073 - Épijournal de Géométrie Algébrique, August 22, 2023, Volume 7 - https://doi.org/10.46298/epiga.2023.10073
Torus Actions on Quotients of Affine SpacesArticle

Authors: 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.


    Volume: Volume 7
    Published on: August 22, 2023
    Accepted on: June 6, 2023
    Submitted on: September 22, 2022
    Keywords: Mathematics - Algebraic Geometry,Mathematics - Representation Theory

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