On homogeneous polynomials determined by their partial derivatives
| Autor: | Wang, Zhenjian |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Can. Math. Bull. 63 (2020) 358-365 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4153/S0008439519000419 |
| Popis: | 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 $k\leq\frac{d}{2}-1$. Comment: 7 pages; the title and abstract are changed a little; an error in the proof of Lemma 2.5 is corrected |
| Databáze: | arXiv |
| Externí odkaz: |
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