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On Homogeneous Polynomials Determined by their Partial Derivatives
Published online by Cambridge University Press: 06 December 2019
Abstract
We prove that a generic homogeneous polynomial of degree $d$ is determined, up to a nonzero constant multiplicative factor, by the vector space spanned by its partial derivatives of order $k$ for $k\leqslant \frac{d}{2}-1$.
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- © Canadian Mathematical Society 2019
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