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http://dx.doi.org/10.4134/BKMS.b160102

SEXTIC MOMENT PROBLEMS ON 3 PARALLEL LINES  

Yoo, Seonguk (Department of Mathematics Sungkyunkwan University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.1, 2017 , pp. 299-318 More about this Journal
Abstract
Sextic moment problems with an infinite algebraic variety are still widely open. We study the problem with a single cubic column relation associated to 3 parallel lines in which the variety is infinite. It turns out that this specific column relation has a strong connection with moment problems that have a symmetric algebraic variety. We present more concrete solutions to some sextic moment problems with a symmetric variety.
Keywords
truncated moment problems; symmetric algebraic variety; consistency; rank-one decomposition;
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