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arXiv · 1809.02422

On homogeneous polynomials determined by their partial derivatives

Zhenjian Wang
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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 $k$ whenever $k\leq\frac{d}{2}-1$.

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Zhenjian Wang. 2018-09-07. On homogeneous polynomials determined by their partial derivatives. https://doi.org/10.4153/s0008439519000419

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