Polar decomposition and Brion's theorem
| dc.creator | Haase, Christian | |
| dc.date | 2003-12-03 | |
| dc.date | 2004-06-10 | |
| dc.date.accessioned | 2026-07-07T05:03:32Z | |
| dc.date.available | 2026-07-07T05:03:32Z | |
| dc.description | 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 à la Lawrence/Varchenko [Lawrence1991, Varchenko1987] on the other. We then go on to prove a version of polar decomposition for non-simple polytopes. | |
| dc.description | 11 pages, 6 figures. Followed suggestions by referee and restructured section 3. Accepted for publication | |
| dc.identifier | https://arxiv.org/abs/math/0312095 | |
| dc.identifier | http://arxiv.org/abs/math/0312095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69459 | |
| dc.subject | Combinatorics | |
| dc.subject | 52B45 (Primary); 11L03, 11P21 (Secondary) | |
| dc.title | Polar decomposition and Brion's theorem | |
| dc.type | text |