Loading [MathJax]/jax/output/CommonHTML/jax.js
Journals
Resources
About Us
Open Access
Go to previous page

The Dependence Problem for a Class of Polynomial Maps in Dimension Four

The Dependence Problem for a Class of Polynomial Maps in Dimension Four

Year:    2014

Author:    Yong Jin, Hongbo Guo

Communications in Mathematical Research , Vol. 30 (2014), Iss. 4 : pp. 289–294

Abstract

Let h be a polynomial in four variables with the singular Hessian Hh 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 rkHh2 and give a necessary and sufficient condition for the components of H to be linearly dependent when rkHh=3.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2014.04.01

Communications in Mathematical Research , Vol. 30 (2014), Iss. 4 : pp. 289–294

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    dependence problem linear dependence quasi-translation.

Author Details

Yong Jin Email

Hongbo Guo Email