Maximal minors of a matrix with linear form entries

被引：1

作者：

Ito, Hiroya ^{[1
]}

Noma, Atsushi ^{[2
]}

Ohno, Masahiro ^{[1
]}

机构：

[1] Univ Electrocommun, Dept Math, Chofu, Tokyo 182, Japan

[2] Yokohama Natl Univ, Dept Math, Yokohama, Kanagawa 240, Japan

来源：

LINEAR & MULTILINEAR ALGEBRA | 2015年 / 63卷 / 08期

关键词：

13D02; 15B33; 35A23; maximal minors; Eagon-Northcott complexes; polynomials; Korn's inequality;

D O I：

10.1080/03081087.2014.959516

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let P be a matrix whose entries are homogeneous polynomials in n variables of degree one over an algebraically closed field. We show that the maximal minors, say m-minors, of P generate the linear space of homogeneous polynomials of degree m if P has the maximal rank m at every point of the affine n-space except the origin.

引用

页码：1599 / 1606

页数：8

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