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

Friedland, Shmuel; Gross, Elizabeth

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

journal contribution

posted on 2012-08-16, 00:00 authored by Shmuel Friedland, Elizabeth Gross

We show that the irreducible variety of 4 4 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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Publisher Statement

NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, Vol 635, Issue 1, (APR 15 2012) http://dx.doi.org/10.1016/j.jalgebra.2012.01.017

Publisher

Elsevier

Language

en_US

issn

0021-8693

Issue date

2012-01-01

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