Using leading monomials and error-correcting code techniques, the paper unifies the factor theorem and interpolation theorem for common affine roots of general multivariate polynomials by showing they are dual results on dual spaces.
Maximumnumberofzeroesofpolynomialsonweighted projective spaces over a finite field
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Toward a unified theory for common affine roots of general sets of multivariate polynomials
Using leading monomials and error-correcting code techniques, the paper unifies the factor theorem and interpolation theorem for common affine roots of general multivariate polynomials by showing they are dual results on dual spaces.