Representing tropical linear spaces by circuits

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.

References in corpus (3)

• Computing Tropical Varieties
• Tropical Geometry of Statistical Models
• Tropical Linear Spaces

Cited by in corpus (9)

• The Entropic Discriminant
• Isotropical Linear Spaces and Valuated Delta-Matroids
• Algorithms for Tight Spans and Tropical Linear Spaces
• A module-theoretic approach to matroids
• Presentations of Transversal Valuated Matroids
• Stiefel tropical linear spaces
• Gérard-Levelt membranes
• Faithful tropicalisation and torus actions
• Matroids arising from electrical networks