Alexander duality in subdivisions of Lawrence polytopes
Combinatorics
2010-06-15 v2
Abstract
The class of simplicial complexes representing triangulations and subdivisions of Lawrence polytopes is closed under Alexander duality. This gives a new geometric model for oriented matroid duality.
Keywords
Cite
@article{arxiv.math/0202104,
title = {Alexander duality in subdivisions of Lawrence polytopes},
author = {Francisco Santos and Bernd Sturmfels},
journal= {arXiv preprint arXiv:math/0202104},
year = {2010}
}
Comments
12 pages, 3 figures, to appear in Advances in Geometry. Changes from v1: Added a Section 5 on the topology of Alexander duals, after useful comments by an anonymous referee