SUMS OF HERMITIAN SQUARES ON PSEUDOCONVEX BOUNDARIES

被引：0

作者：

Putinar, Mihai ^{[1
]}

Scheiderer, Claus ^{[2
]}

机构：

[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

[2] Univ Konstanz, Fachbereich Math & Stat, D-78457 Constance, Germany

来源：

MATHEMATICAL RESEARCH LETTERS | 2010年 / 17卷 / 06期

基金：

美国国家科学基金会;

关键词：

THEOREM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an abstract characterization of all real algebraic subvarieties of complex affine space on which every positive polynomial is a sum of hermitian squares, and we find obstructions to this phenomenon. As a consequence we construct a strictly pseudoconvex domain with smooth algebraic boundary on which there exists a degree two positive polynomial which is not a sum of hermitian squares, answering thus in the negative a question of John D'Angelo.

引用

页码：1047 / 1053

页数：7

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