Derives a rank estimate via Macaulay representation of the prolongation matrix for the SOS A(z, bar z) ||z||^2 when A is diagonal and not semipositive definite, confirming the SOS conjecture for n=4 to 6.
Ebenfelt, On the HJY Gap Conjecture in CR Geometry vs
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Macaulay representation of the prolongation matrix and the SOS conjecture
Derives a rank estimate via Macaulay representation of the prolongation matrix for the SOS A(z, bar z) ||z||^2 when A is diagonal and not semipositive definite, confirming the SOS conjecture for n=4 to 6.