HERMITIAN COMPLEXITY OF REAL POLYNOMIAL IDEALS
2012 ◽
Vol 23
(06)
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pp. 1250026
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Keyword(s):
We define the Hermitian complexity of a real polynomial ideal and of a real algebraic subset of Cn. This concept is aimed at determining precise necessary conditions for a Hermitian symmetric polynomial to agree with a Hermitian squared norm on an algebraic set. The latter topic has been a central theme in modern polynomial optimization and in complex geometry, specifically related to the holomorphic embedding of pseudoconvex domain into balls, or the classification of proper holomorphic maps between balls.
Keyword(s):
2016 ◽
Vol 152
(8)
◽
pp. 1555-1575
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Keyword(s):
2011 ◽
Vol 61
(8)
◽
pp. 1502-1515
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Keyword(s):
2009 ◽
Vol 52
(12)
◽
pp. 2647-2667
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Keyword(s):
2004 ◽
Vol 15
(04)
◽
pp. 409-424
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