Toric degenerations of weight varieties and applications

Details Toric degenerations of weight varieties and applications Toric degenerations of weight varieties and applications

2004-06-16

arxiv.org/abs/math/0406329v2

Mathematics

Algebraic Geometry

17 pages

Scientific paper

We show that a weight variety, which is a quotient of a flag variety by the maximal torus, admits a flat degeneration to a toric variety. In particular, we show that the moduli spaces of spatial polygons degenerate to polarized toric varieties with the moment polytopes defined by the lengths of their diagonals. We extend these results to more general Flaschka-Millson hamiltonians on the quotients of products of projective spaces. We also study boundary toric divisors and certain real loci.

Affiliated with

Also associated with

No associations

Rating

Toric degenerations of weight varieties and applications 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 Toric degenerations of weight varieties and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toric degenerations of weight varieties and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-219459