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Systems of Hermitian Quadratic Forms

Published online by Cambridge University Press:  20 November 2018

Ma Li  and
Chen Dezhong
Ma Li
Affiliation:
Department of Mathematical Sciences Tsinghua University Beijing 100084 China, e-mail: cdz02@mails.tsinghua.edu.cn Department of Mathematics The National University of Singapore 10 Kent Ridge Crescent Singapore 119260, e-mail: nuslma@sina.com
Chen Dezhong
Affiliation:
Department of Mathematical Sciences Tsinghua University Beijing 100084 China Department of Mathematics The National University of Singapore 10 Kent Ridge Crescent Singapore 119260, e-mail: nuslma@sina.com
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Abstract

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In this paper, we give some conditions to judge when a system of Hermitian quadratic forms has a real linear combination which is positive definite or positive semi-definite. We also study some related geometric and topological properties of the moduli space.

Keywords

15A63hermitian quadratic formpositive definitepositive semi-definite

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 1 , 01 March 2004 , pp. 73 - 81
Copyright
Copyright © Canadian Mathematical Society 2004

References

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