TY - JOUR
T1 - Noncoercive sums of squares in R [x1, ..., xn]
AU - Verchota, Gregory C.
N1 - Funding Information:
This work was partially supported by the National Science Foundation through award DMS-0401159.
PY - 2010/3
Y1 - 2010/3
N2 - 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.
AB - 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.
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U2 - 10.1016/j.jpaa.2009.05.012
DO - 10.1016/j.jpaa.2009.05.012
M3 - Article
AN - SCOPUS:70350365831
SN - 0022-4049
VL - 214
SP - 236
EP - 250
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 3
ER -