Polar decomposition and Brion's theorem
组合数学
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0312095,
title = {Polar decomposition and Brion's theorem},
author = {Christian Haase},
journal= {arXiv preprint arXiv:math/0312095},
year = {2007}
}
备注
11 pages, 6 figures. Followed suggestions by referee and restructured section 3. Accepted for publication