On tensors of border rank $l$ in $\C^{m\times n\times l}$

Details On tensors of border rank $l$ in $\C^{m\times n\times l}$ On tensors of border rank $l$ in $\C^{m\times n\times l}$

2010-03-09

arxiv.org/abs/1003.1968v2

Mathematics

Algebraic Geometry

25 pages, a substantially revised version

Scientific paper

We study tensors in $\C^{m\times n\times l}$ whose border rank is $l$. We
characterize the tensors in $\C^{3\times 3\times 4}$ and in $\C^{4\times
4\times 4}$ of border rank 4 at most.

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