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arxiv: 0808.2383 · v4 · pith:GNNFSCDLnew · submitted 2008-08-18 · 🧮 math.CO · math.AG

How to Draw Tropical Planes

classification 🧮 math.CO math.AG
keywords planesdrawparameterizesspacestropicalarrangementscomputedressian
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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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