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

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Let 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.
19 pages

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Algebraic Geometry, Group Theory, 14L30;14L24;57S25

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http://salesiana.dossiersoluciones.com/handle/123456789/124218

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702556
 http://arxiv.org/abs/math/0702556

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arXiv