Actions of compact groups on coherent sheaves

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dc.creatorHausen, J.
dc.creatorHeinzner, P.
dc.date1998-05-28
dc.date.accessioned2026-07-07T05:24:53Z
dc.date.available2026-07-07T05:24:53Z
dc.descriptionLet K be a compact Lie group and G its complexification. For a not necessarily reduced Stein K-space X we show that there is a complex space Z endowed with a holomorphic action of the universal complexification G of K that contains X as an open K-stable subset. The correspondence is functorial. As our main result we prove that every coherent K-sheaf on X extends uniquely to a G-sheaf on Z.
dc.description9 pages, plain tex
dc.identifierhttps://arxiv.org/abs/math/9805138
dc.identifierhttp://arxiv.org/abs/math/9805138
dc.identifierTransformation Groups, Vol. 4, No.1, 25-34 (1999)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76979
dc.subjectComplex Variables
dc.subjectAlgebraic Geometry
dc.subject32M05
dc.titleActions of compact groups on coherent sheaves
dc.typetext

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