Vector bundles give equations of cactus varieties

被引：16
|
作者：
Galazka, Maciej [1 ]
机构：
[1] Univ Warsaw, Fac Math Comp Sci & Mech, Ul Banacha 2, PL-02097 Warsaw, Poland
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 521卷
关键词：
Secant variety; Waring rank; Cactus rank; Homogeneous variety; Apolarity; Catalecticant;
D O I：
10.1016/j.laa.2016.12.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that vector bundles give equations of cactus varieties. We derive from it that equations coming from vector bundles are not enough to define secant varieties of Veronese varieties in general. (C) 2017 Elsevier Inc. All rights reserved.
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页码：254 / 262
页数：9
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