A note on the variety of pairs of matrices whose product is symmetric

被引：0

作者：

Majidi-Zolbanin, Mahdi ^{[1
]}

Snapp, Bart ^{[2
]}

机构：

[1] CUNY LaGuardia Community Coll, Dept Math, Long Isl City, NY 11101 USA

[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

COMMUTATIVE ALGEBRA AND ITS CONNECTIONS TO GEOMETRY | 2011年 / 555卷

关键词：

Algebraic variety; Complete intersection; Irreducible; Reduced; Jacobian module; Symmetric matrices; Commuting variety;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give different short proofs for a result proved by C. Mueller in [9]: Over an algebraically closed field pairs of n x n matrices whose product is symmetric form an irreducible, reduced, and complete intersection variety of dimension (3n(2) + n)/2. Our work is connected to the work of Brennan, Pinto, and Vasconcelos in [2].

引用

页码：145 / +

页数：2

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