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Białynicki-Birula decomposition for reductive groups

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cris.lastimport.scopus2024-02-12T19:00:59Z
dc.abstract.enWe generalize the Białynicki-Birula decomposition from actions of G_m on smooth varieties to actions of linearly reductive group G on finite type schemes and algebraic spaces. We also provide a relative version and briefly discuss the case of algebraic stacks. We define the Białynicki-Birula decomposition functorially: for a fixed G-scheme X and a monoid Gbar which compactifies G, the BB decomposition parameterizes G-schemes over X for which the G-action extends to the Gbar-action. The freedom of choice of Gbar makes the theory richer than the G_m-case.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorSienkiewicz, Łukasz
dc.contributor.authorJelisiejew, Joachim
dc.date.accessioned2024-01-24T18:35:53Z
dc.date.available2024-01-24T18:35:53Z
dc.date.issued2019
dc.description.financeNie dotyczy
dc.description.volume131
dc.identifier.doi10.1016/J.MATPUR.2019.04.006
dc.identifier.issn0021-7824
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/102247
dc.languageeng
dc.relation.ispartofJournal des Mathematiques Pures et Appliquees
dc.relation.pages290–325
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleBiałynicki-Birula decomposition for reductive groups
dc.typeJournalArticle
dspace.entity.typePublication