Sets Computing the Symmetric Tensor Rank

被引：12

作者：

Ballico, Edoardo ^{[1
]}

Chiantini, Luca ^{[2
]}

机构：

[1] Univ Trento, Dipartimento Matemat, I-38123 Povo, TN, Italy

[2] Univ Siena, Dipartimento Sci Matemat & Informat R Magari, I-53100 Siena, Italy

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2013年 / 10卷 / 02期

关键词：

Symmetric tensor rank; Veronese embedding;

D O I：

10.1007/s00009-012-0214-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let denote the degree d Veronese embedding of . For any , the symmetric tensor rank sr(P) is the minimal cardinality of a set spanning P. Let be the set of all such that computes sr(P). Here we classify all such that sr(P) < 3d/2 and sr(P) is computed by at least two subsets of . For such tensors , we prove that has no isolated points.

引用

页码：643 / 654

页数：12

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