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TitleThe toric geometry of triangulated polygons in Euclidean space.
Author(s) Benjamin J. Howard, Matthew D. Johnston, Christopher Manon
TypeArticle in Journal
AbstractSpeyer and Sturmfels associated Gröbner toric degenerations Gr2(ℂn) of Gr2(ℂn) with each trivalent tree  having n leaves. These degenerations induce toric degenerations Mr of Mr, the space of n ordered, weighted (by r) points on the projective line. Our goal in this paper is to give a geometric (Euclidean polygon) description of the toric fibers and describe the action of the compact part of the torus as "bendings of polygons". We prove the conjecture of Foth and Hu that the toric fibers are homeomorphic to the spaces defined by Kamiyama and Yoshida.
ISSN0008-414X; 1496-4279/e
URL http://cms.math.ca/10.4153/CJM-2011-021-0
LanguageEnglish
JournalCan. J. Math.
Volume63
Number4
Pages878--937
PublisherUniversity of Toronto Press, Toronto
Year2011
Edition0
Translation No
Refereed No
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