Existence of positive definite noncoercive sums of squares

2007/12/13 by Gregory C. Verchota, Verchota, Gregory C.
Mathematics · #11E25 #12D15 #35J30 #35J40 #Algebraic Geometry (math.AG) #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AG #math.AP #msc:11E25 #msc:12D15 #msc:35J30 #msc:35J40

paper · pdf · doi:10.48550/arxiv.0712.2167

27 pages

arxiv created 2007/12/13 · arxiv updated 2009/12/01

Abstract

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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