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arxiv: 0712.2167 · v1 · submitted 2007-12-13 · 🧮 math.AG · math.AP

Existence of positive definite noncoercive sums of squares

classification 🧮 math.AG math.AP
keywords squaresdefiniteformspositivesumsadditionalcollectioncomplex
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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.

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