Existence of positive definite noncoercive sums of squares

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Positive definite forms $f$ which are sums of squares are constructed to have the additional property that the members of any collection of forms whose squares sum to $f$ must share a nontrivial complex root.
27 pages

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Algebraic Geometry, Analysis of PDEs, 12D15, 11E25, 35J30, 35J40

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http://salesiana.dossiersoluciones.com/handle/123456789/144155

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.2167
 http://arxiv.org/abs/0712.2167

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arXiv