Algebraic boundary of matrices of nonnegative rank at most three

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 Gr obner basis with respect to the graded reverse lexicographic order. This solves a...

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Bibliographic Details
Published in:arXiv.org 2014-12
Main Authors: Eggermont, Rob H, Horobet, Emil, Kubjas, Kaie
Format: Article
Language:English
Online Access:Get full text
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Summary: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 Gr obner basis with respect to the graded reverse lexicographic order. This solves a conjecture by Robeva, Sturmfels and the last author.
ISSN:2331-8422