A proof of the set-theoretic version of the salmon conjecture

Mathematics – Algebraic Geometry

Scientific paper

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7 pages

Scientific paper

We show that the irreducible variety of 4 x 4 x 4 complex valued tensors of
border rank at most 4 is the zero set of polynomial equations of degree 5 (the
Strassen commutative conditions), of degree 6 (the Landsberg-Manivel
polynomials), and of degree 9 (the symmetrization conditions).

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