Gaps in the Pairs (Border Rank, Symmetric Rank) for Symmetric Tensors
DOI:
https://doi.org/10.5644/SJM.09.2.02Keywords:
Symmetric tensor rank, border rank, homogeneous polynomial, cactus rankAbstract
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 $s$.
2010 Mathematics Subject Classification. 14N05, 15A69, 15A21
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References
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