A-Tint: A polymake extension for algorithmic tropical intersection theory
Algebraic Geometry
2013-10-29 v2
Abstract
In this paper we study algorithmic aspects of tropical intersection theory. We analyse how divisors and intersection products on tropical cycles can actually be computed using polyhedral geometry. The main focus of this paper is the study of moduli spaces, where the underlying combinatorics of the varieties involved allow a much more efficient way of computing certain tropical cycles. The algorithms discussed here have been implemented in an extension for polymake, a software for polyhedral computations.
Cite
@article{arxiv.1208.4248,
title = {A-Tint: A polymake extension for algorithmic tropical intersection theory},
author = {Simon Hampe},
journal= {arXiv preprint arXiv:1208.4248},
year = {2013}
}
Comments
32 pages, 5 figures, 4 tables. Second version: Revised version, to be published in European Journal of Combinatorics