Construction of equivariant vector bundles

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dc.creatorBrion, Michel
dc.date2004-10-03
dc.date.accessioned2026-07-07T05:12:48Z
dc.date.available2026-07-07T05:12:48Z
dc.descriptionLet $X$ be the wonderful compactification of a complex adjoint symmetric space $G/K$ such that $rk(G/K)=rk(G)-rk(K)$. We show how to extend equivariant vector bundles on $G/K$ to equivariant vector bundles on $X$, generated by their global sections and having trivial higher cohomology groups. This relies on a geometric construction of equivariant vector bundles in the setting of varieties with reductive group action and ``multiplicity-free'' subvarieties.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0410039
dc.identifierhttp://arxiv.org/abs/math/0410039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72717
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14F05; 14M17; 20G05; 22E46
dc.titleConstruction of equivariant vector bundles
dc.typetext

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