Algebraic properties of Hermitian sums of squares

被引：3

作者：

Brooks, Jennifer ^{[1
,3
]}

Grundmeier, Dusty ^{[2
]}

机构：

[1] Univ Montana, Dept Math Sci, Missoula, MT 59812 USA

[2] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

[3] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2020年 / 65卷 / 04期

关键词：

H; Boas; Sums of squares; real polynomials; Betti numbers; POSITIVITY;

D O I：

10.1080/17476933.2019.1652276

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the class of bihomogeneous polynomials on for which there is a positive integer d such that can be written as a Hermitian sum of squares. We reinterpret this problem in terms of commutative algebra, and we give necessary algebraic conditions on this class of polynomials.

引用

页码：695 / 712

页数：18

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