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arXiv · 1412.1654

Algebraic boundary of matrices of nonnegative rank at most three

Rob H. Eggermont·Emil Horobet·Kaie Kubjas
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Abstract

The Zariski closure of the boundary of the set of matrices of nonnegative rank at most 3 is reducible. We give a minimal generating set for the ideal of each irreducible component. In fact, this generating set is a Grobner basis with respect to the graded reverse lexicographic order. This solves a conjecture by Robeva, Sturmfels and the last author.

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Rob H. Eggermont, Emil Horobet, Kaie Kubjas. 2014-12-04. Algebraic boundary of matrices of nonnegative rank at most three. https://arxiv.org/abs/1412.1654

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