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 rkHh≤2 and give a necessary and sufficient condition for the components of H to be linearly dependent when rkHh=3.
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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