Noncoercive sums of squares in R [x1, ..., xn]

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Abstract

Positive definite forms f ∈ R [x1, ..., xn] which are sums of squares of forms of R [x1, ..., xn] 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 in Cn.

Original languageEnglish (US)
Pages (from-to)236-250
Number of pages15
JournalJournal of Pure and Applied Algebra
Volume214
Issue number3
DOIs
StatePublished - Mar 1 2010

ASJC Scopus subject areas

  • Algebra and Number Theory

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