Algebraic boundary of matrices of nonnegative rank at most three

R.H. Eggermont, E. Horobet, K. 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.
Original languageEnglish
Publishers.n.
Number of pages15
Publication statusPublished - 2014

Publication series

NamearXiv.org
Volume1412.1654 [math.AG]

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