How to draw tropical planes
The electronic journal of combinatorics, The Björner Festschrift volume, Tome 16 (2009) no. 2
The tropical Grassmannian parameterizes tropicalizations of ordinary linear spaces, while the Dressian parameterizes all tropical linear spaces in ${\Bbb T}{\Bbb P}^{n-1}$. 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 then used to draw pictures.
DOI :
10.37236/72
Classification :
52B40, 14M15, 05C05
Mots-clés : tropical plane, metric trees, matroid
Mots-clés : tropical plane, metric trees, matroid
@article{10_37236_72,
author = {Sven Herrmann and Anders Jensen and Michael Joswig and Bernd Sturmfels},
title = {How to draw tropical planes},
journal = {The electronic journal of combinatorics},
year = {2009},
volume = {16},
number = {2},
doi = {10.37236/72},
zbl = {1195.14080},
url = {http://geodesic.mathdoc.fr/articles/10.37236/72/}
}
Sven Herrmann; Anders Jensen; Michael Joswig; Bernd Sturmfels. How to draw tropical planes. The electronic journal of combinatorics, The Björner Festschrift volume, Tome 16 (2009) no. 2. doi: 10.37236/72
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