Descent of line bundles to GIT quotients of flag varieties by maximal torus

Simple item page
dc.creatorKumar, Shrawan
dc.date2007-02-19
dc.date.accessioned2026-07-07T07:47:35Z
dc.date.available2026-07-07T07:47:35Z
dc.descriptionLet L be a homogeneous ample line bundle on any flag variety G/P and let T be a maximal torus of G. We prove a general necessary and sufficient condition for L to descend as a line bundle on the GIT quotient of G/P by T. We use this result to explicitly determine exactly which L descend to the GIT quotient for any simple complex algebraic group G and any parabolic subgroup P.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0702556
dc.identifierhttp://arxiv.org/abs/math/0702556
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124218
dc.subjectAlgebraic Geometry
dc.subjectGroup Theory
dc.subject14L30;14L24;57S25
dc.titleDescent of line bundles to GIT quotients of flag varieties by maximal torus
dc.typetext

Files

Collections

arXiv