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

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

2007-02-19

arxiv.org/abs/math/0702556v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Descent of line bundles to GIT quotients of flag varieties by maximal torus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Descent of line bundles to GIT quotients of flag varieties by maximal torus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Descent of line bundles to GIT quotients of flag varieties by maximal torus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-567245