Geodesic
Torus Actions on Quotients of Affine Spaces
Épijournal de Géométrie Algébrique, Tome 7 (2023)

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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.
DOI : 10.46298/epiga.2023.10073
Classification : 14L24, 14L30 
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     author = {Brecan, Ana-Maria and Franzen, Hans},
     title = {Torus {Actions} on {Quotients} of {Affine} {Spaces}},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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     volume = {7},
     year = {2023},
     doi = {10.46298/epiga.2023.10073},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2023.10073/}
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Brecan, Ana-Maria; Franzen, Hans. Torus Actions on Quotients of Affine Spaces. Épijournal de Géométrie Algébrique, Tome 7 (2023). doi: 10.46298/epiga.2023.10073

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