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.
Bras-Amorós and M
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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.