Polar decomposition and Brion's theorem

Details Polar decomposition and Brion's theorem Polar decomposition and Brion's theorem

2003-12-03

arxiv.org/abs/math/0312095v2

Mathematics

Combinatorics

11 pages, 6 figures. Followed suggestions by referee and restructured section 3. Accepted for publication

Scientific paper

In this note we point out the relation between Brion's formula for the lattice point generating function of a convex polytope in terms of the vertex cones [Brion1988] on the one hand, and the polar decomposition \`a la Lawrence/Varchenko [Lawrence1991, Varchenko1987] on the other. We then go on to prove a version of polar decomposition for non-simple polytopes.

Affiliated with

Also associated with

No associations

Rating

Polar decomposition and Brion's theorem 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 Polar decomposition and Brion's theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polar decomposition and Brion's theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-630906