Descent of line bundles to GIT quotients of flag varieties by maximal torus
Algebraic Geometry
2007-05-23 v1 Group Theory
Abstract
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.
Cite
@article{arxiv.math/0702556,
title = {Descent of line bundles to GIT quotients of flag varieties by maximal torus},
author = {Shrawan Kumar},
journal= {arXiv preprint arXiv:math/0702556},
year = {2007}
}
Comments
19 pages