How to Draw Tropical Planes
Combinatorics
2014-12-23 v4 Algebraic Geometry
Abstract
The tropical Grassmannian parameterizes tropicalizations of linear spaces, while the Dressian parameterizes all planes in . We study these parameter spaces and we compute them explicitly for . Planes are identified with matroid subdivisions and with arrangements of trees. These representations are used to draw pictures.
Keywords
Cite
@article{arxiv.0808.2383,
title = {How to Draw Tropical Planes},
author = {Sven Herrmann and Anders Jensen and Michael Joswig and Bernd Sturmfels},
journal= {arXiv preprint arXiv:0808.2383},
year = {2014}
}
Comments
22 pages, 10 figures; correction of the definition of an 'abstract tree arrangement' on page 10