English

Representing tropical linear spaces by circuits

Combinatorics 2007-05-23 v1 Algebraic Geometry

Abstract

We study representations of tropical linear spaces as intersections of tropical hyperplanes of circuits. For several classes of matroids, we describe minimal tropical bases. We also show that every realizable tropical linear space has a natural, tropically linear parametrization involving its cocircuits.

Keywords

Cite

@article{arxiv.math/0611579,
  title  = {Representing tropical linear spaces by circuits},
  author = {Josephine Yu and Debbie S. Yuster},
  journal= {arXiv preprint arXiv:math/0611579},
  year   = {2007}
}