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Tropical secant varieties of linear spaces

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.

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Mike Develin. 2004-05-07. Tropical secant varieties of linear spaces. https://arxiv.org/abs/math/0405115

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