An Alexander-type duality for valuations
Combinatorics
2016-10-28 v1
Abstract
We prove an Alexander-type duality for valuations for certain subcomplexes in the boundary of polyhedra. These strengthen and simplify results of Stanley (1974) and Miller-Reiner (2005). We give a generalization of Brion's theorem for this relative situation and we discuss the topology of the possible subcomplexes for which the duality relation holds.
Cite
@article{arxiv.1303.1708,
title = {An Alexander-type duality for valuations},
author = {Karim Adiprasito and Raman Sanyal},
journal= {arXiv preprint arXiv:1303.1708},
year = {2016}
}
Comments
11 pages