How to Draw Tropical Planes

Details How to Draw Tropical Planes How to Draw Tropical Planes

2008-08-18

arxiv.org/abs/0808.2383v4

Electronic Journal of Combinatorics, 16 (2009), no. 2

Mathematics

Combinatorics

22 pages, 10 figures; correction of the definition of an 'abstract tree arrangement' on page 10

Scientific paper

The tropical Grassmannian parameterizes tropicalizations of linear spaces,
while the Dressian parameterizes all planes in $\TP^{n-1}$. We study these
parameter spaces and we compute them explicitly for $n \leq 7$. Planes are
identified with matroid subdivisions and with arrangements of trees. These
representations are used to draw pictures.

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