Tropical secant varieties of linear spaces
Combinatorics
2007-05-23 v1
Abstract
In this paper, we investigate tropical secant varieties of ordinary linear spaces. These correspond to the log-limit sets of ordinary toric varieties; we show that their interesting parts are combinatorially isomorphic to a certain natural subcomplex of the complex of regular subdivisions of a corresponding point set, and we display the range of behavior of this object. We also use this characterization to reformulate the question of determining Barvinok rank into a question regarding regular subdivisions of products of simplices.
Cite
@article{arxiv.math/0405115,
title = {Tropical secant varieties of linear spaces},
author = {Mike Develin},
journal= {arXiv preprint arXiv:math/0405115},
year = {2007}
}
Comments
11 pages