English

Algorithms for Tight Spans and Tropical Linear Spaces

Combinatorics 2022-08-05 v2 Algebraic Geometry

Abstract

We describe a new method for computing tropical linear spaces and more general duals of polyhedral subdivisions. It is based on Ganter's algorithm (1984) for finite closure systems.

Keywords

Cite

@article{arxiv.1612.03592,
  title  = {Algorithms for Tight Spans and Tropical Linear Spaces},
  author = {Simon Hampe and Michael Joswig and Benjamin Schröter},
  journal= {arXiv preprint arXiv:1612.03592},
  year   = {2022}
}

Comments

14 pages, 3 figures, 1 table added a computational result (Proposition 5.5) about the difference of the Dressian $Dr(3,8)$ and the tropical Grassmanians $Gr_p(3,8)$, as well as minor edits, corrections and additions

R2 v1 2026-06-22T17:20:18.415Z