Variation of Mumford's quotients for the maximal torus action on a flag variety

Details Variation of Mumford's quotients for the maximal torus action on a flag variety Variation of Mumford's quotients for the maximal torus action on a flag variety

2006-09-30

arxiv.org/abs/math/0610014v1

Mathematics

Algebraic Geometry

15 pages, 5 figures

Scientific paper

We study a variation of Mumford's quotient for the action of a maximal torus $T$ on a flag variety $G/B$ depending on projective embedding $G/B \hookrightarrow \Bbb P(V(\chi))$, where $T$-linearization is induced by the standard $G$-linearization. We describe the linear spans of the supports of semistable orbits, that allow us to calculate the rank of the Picard group of quotient $(G/B)^{ss}//T$, when $G$ does not contain simple factors of type $A_n$.

Affiliated with

Also associated with

No associations

Rating

Variation of Mumford's quotients for the maximal torus action on a flag variety 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 Variation of Mumford's quotients for the maximal torus action on a flag variety, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variation of Mumford's quotients for the maximal torus action on a flag variety will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-616404