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arXiv · 1111.1428

Gaps in the pairs (border rank,symmetric rank) for symmetric tensors

Edoardo Ballico
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Abstract

Fix integers $m \ge 2$, $s\ge 5$ and $d\ge 2s+2$. Here we describe the possible symmetric tensor ranks $\le 2d+s-7$ of all symmetric tensors (or homogeneous degree $d$ polynomials) in $m+1$ variables with border rank $s$.

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Edoardo Ballico. 2011-11-06. Gaps in the pairs (border rank,symmetric rank) for symmetric tensors. https://arxiv.org/abs/1111.1428

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