Projectivities in Simplicial Complexes and Colorings of Simple Polytopes
Combinatorics
2007-05-23 v3 Algebraic Geometry
Metric Geometry
Abstract
For each strongly connected finite-dimensional (pure) simplicial complex we construct a finite group, the group of projectivities of the complex, which is a combinatorial but not a topological invariant. This group is studied for combinatorial manifolds and, in particular, for polytopal simplicial spheres. The results are applied to a coloring problem for simplicial (or, dually, simple) polytopes which arises in the area of toric algebraic varieties.
Keywords
Cite
@article{arxiv.math/0102186,
title = {Projectivities in Simplicial Complexes and Colorings of Simple Polytopes},
author = {Michael Joswig},
journal= {arXiv preprint arXiv:math/0102186},
year = {2007}
}
Comments
16 pages, Latex2e