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TitleComputing tropical linear spaces
Author(s) Felipe Rincón
TypeArticle in Journal
AbstractWe define and study the cyclic Bergman fan of a matroid M, which is a simplicial polyhedral fan supported on the tropical linear space T ( M ) of M and is amenable to computational purposes. It slightly refines the nested set structure on T ( M ) , and its rays are in bijection with flats of M which are either cyclic flats or singletons. We give a fast algorithm for calculating it, making some computational applications of tropical geometry now viable. Our C++ implementation, called TropLi, and a tool for computing vertices of Newton polytopes of A-discriminants, are both available online.
KeywordsBergman fan, Tropical linear space, Cyclic Bergman fan, Nested set fan, Fine subdivision, Cyclic flat, A-discriminant, Newton polytope
ISSN0747-7171
URL http://www.sciencedirect.com/science/article/pii/S0747717112001174
LanguageEnglish
JournalJournal of Symbolic Computation
Volume51
Number0
Pages86 - 98
Year2013
NoteEffective Methods in Algebraic Geometry
Edition0
Translation No
Refereed No
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