Tropical Convexity via Cellular Resolutions
Metric Geometry
2012-02-13 v3 Combinatorics
Abstract
The tropical convex hull of a finite set of points in tropical projective space has a natural structure of a cellular free resolution. Therefore, methods from computational commutative algebra can be used to compute tropical convex hulls. Tropical cyclic polytopes are also presented.
Cite
@article{arxiv.math/0503279,
title = {Tropical Convexity via Cellular Resolutions},
author = {Florian Block and Josephine Yu},
journal= {arXiv preprint arXiv:math/0503279},
year = {2012}
}
Comments
12 pages, 11 figures