Ranks of tensors and a generalization of secant varieties

Details Ranks of tensors and a generalization of secant varieties Ranks of tensors and a generalization of secant varieties

2009-09-23

arxiv.org/abs/0909.4262v4

Mathematics

Algebraic Geometry

22 pages; v4: major revision, added a more detailed treatment of previously known results, and more references to similar prob

Scientific paper

We introduce subspace rank as a tool for studying ranks of tensors and X-rank
more generally. We derive a new upper bound for the rank of a tensor and
determine the ranks of partially symmetric tensors in C^2 \times C^b \times
C^b. We review the literature from a geometric perspective.

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