Projection Volumes of Hyperplane Arrangements |
| |
Authors: | Caroline J Klivans Ed Swartz |
| |
Institution: | (1) Dept. Math. Univ. Wisconsin, Madison, WI 53706, USA |
| |
Abstract: | We prove that for any finite real hyperplane arrangement the average projection volumes of the maximal cones are given by
the coefficients of the characteristic polynomial of the arrangement. This settles the conjecture of Drton and Klivans that
this held for all finite real reflection arrangements. The methods used are geometric and combinatorial. As a consequence,
we determine that the angle sums of a zonotope are given by the characteristic polynomial of the order dual of the intersection
lattice of the arrangement. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |