Tropical Grassmannian and Tropical Linear Varieties from phylogenetic trees (1312.0752v2)

Published 3 Dec 2013 in math.CO and math.AG

Abstract: In this paper we study tropicalization of Grassmannian and linear varieties. In particular, we study the tropical linear spaces cor- responding to the phylogenetic trees. We prove that corresponding to each subtree of the phylogenetic tree there is a point on the tropical grassmannian. We deduce a necessary and sufficient condition for it to be on the facet of the tropical linear space.

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