A proof of the set-theoretic version of the salmon conjecture
classification
🧮 math.AG
keywords
degreeconditionsbordercommutativecomplexconjectureequationsirreducible
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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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