Stasheff polytopes and the coordinate ring of the cluster X-variety of type A_n

Details Stasheff polytopes and the coordinate ring of the cluster X-variety of type A_n Stasheff polytopes and the coordinate ring of the cluster X-variety of type A_n

2011-04-18

arxiv.org/abs/1104.3528v1

Mathematics

Algebraic Geometry

21 pages, 3 figures

Scientific paper

We define Stasheff polytopes in the space of tropical points of cluster
A-varieties. We study the supports of products of elements of canonical bases
for cluster X-varieties. We prove that, for the cluster X-variety of type A_n,
such supports are Stasheff polytopes.

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