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

页码：135 / 153

页数：19

共 9 条

[1] HORACE METHOD - APPLICATION TO 4TH-DEGREE INTERPOLATION [J].