Varieties of completely decomposable forms and their secants

被引：12
|
作者：
Abo, Hirotachi [1 ]
机构：
[1] Univ Idaho, Dept Math, Moscow, ID 83844 USA
来源：
JOURNAL OF ALGEBRA | 2014年 / 403卷
基金：
美国国家科学基金会;
关键词：
Secant variety; Varieties of completely; decomposable forms; Generic rank; Waring's problem;
D O I：
10.1016/j.jalgebra.2013.12.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to the study of higher secant varieties of varieties of completely decomposable forms. The main goal is to develop methods to inductively verify the non-defectivity of such secant varieties. As an application of these methods, we will establish the existence of large families of non-defective secant varieties of "small" varieties of completely decomposable forms. (c) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：135 / 153
页数：19
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