@Article{CMR-30-4,
author = {Yong, Jin and Hongbo, Guo},
title = {The Dependence Problem for a Class of Polynomial Maps in Dimension Four},
journal = {Communications in Mathematical Research },
year = {2014},
volume = {30},
number = {4},
pages = {289--294},
abstract = {<p style="text-align: justify;">Let $h$ be a polynomial in four variables with the singular Hessian&nbsp;$\mathcal{H}h$ and the gradient $∇h$ and $R$ be a nonzero relation of $∇h$. Set $H = ∇R(∇h)$. We
prove that the components of $H$ are linearly dependent when $rk\mathcal{H}h&nbsp;≤ 2$ and give a
necessary and sufficient condition for the components of $H$ to be linearly dependent
when $rk\mathcal{H}h&nbsp;= 3$.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2014.04.01},
url = {https://global-sci.com/article/81763/the-dependence-problem-for-a-class-of-polynomial-maps-in-dimension-four}
}