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
收藏
页码：374 / 379
页数：6
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