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
收藏
页码：695 / 712
页数：18
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