On homogeneous polynomials determined by their partial derivatives
Algebraic Geometry
2020-04-29 v2
Abstract
We prove that a generic homogeneous polynomial of degree is determined, up to a nonzero constant multiplicative factor, by the vector space spanned by its partial derivatives of order whenever .
Cite
@article{arxiv.1809.02422,
title = {On homogeneous polynomials determined by their partial derivatives},
author = {Zhenjian Wang},
journal= {arXiv preprint arXiv:1809.02422},
year = {2020}
}
Comments
7 pages; the title and abstract are changed a little; an error in the proof of Lemma 2.5 is corrected