Existence of positive definite noncoercive sums of squares

Details Existence of positive definite noncoercive sums of squares Existence of positive definite noncoercive sums of squares

2007-12-13

arxiv.org/abs/0712.2167v1

Mathematics

Algebraic Geometry

27 pages

Scientific paper

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.

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