{"title":"Torus Actions on Quotients of Affine Spaces","authors":"Ana-Maria Brecan, H. Franzen","doi":"10.46298/epiga.2023.10073","DOIUrl":null,"url":null,"abstract":"We study the locus of fixed points of a torus action on a GIT quotient of a\ncomplex vector space by a reductive complex algebraic group which acts\nlinearly. We show that, under the assumption that $G$ acts freely on the stable\nlocus, the components of the fixed point locus are again GIT quotients of\nlinear subspaces by Levi subgroups.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2023.10073","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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