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

被引：17

作者：

Friedland, Shmuel ^{[1
]}

Gross, Elizabeth ^{[1
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

来源：

JOURNAL OF ALGEBRA | 2012年 / 356卷 / 01期

关键词：

Rank of tensors; Border rank of tensors; Salmon conjecture; SECANT VARIETIES;

D O I：

10.1016/j.jalgebra.2012.01.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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). (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：374 / 379

页数：6

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