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Mathematics > Combinatorics

arXiv:math/0405115 (math)
[Submitted on 7 May 2004]

Title:Tropical secant varieties of linear spaces

Authors:Mike Develin
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Abstract: In this paper, we investigate tropical secant varieties of ordinary linear spaces. These correspond to the log-limit sets of ordinary toric varieties; we show that their interesting parts are combinatorially isomorphic to a certain natural subcomplex of the complex of regular subdivisions of a corresponding point set, and we display the range of behavior of this object. We also use this characterization to reformulate the question of determining Barvinok rank into a question regarding regular subdivisions of products of simplices.
Comments: 11 pages
Subjects: Combinatorics (math.CO)
MSC classes: 52B05; 52B99
Report number: AIM 2004-9
Cite as: arXiv:math/0405115 [math.CO]
  (or arXiv:math/0405115v1 [math.CO] for this version)
  https://doi.org/10.48550/arXiv.math/0405115

Submission history

From: Mike Develin [view email]
[v1] Fri, 7 May 2004 00:50:21 UTC (16 KB)
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