- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 A polar, the class and plane Jacobian conjecture Bull. Korean Math. Soc. 2010 Vol. 47, No. 1, 211-219 https://doi.org/10.4134/BKMS.2010.47.1.211Printed January 1, 2010 Dosang Joe Konkuk University Abstract : Let $P$ be a Jacobian polynomial such as $\deg P=\deg_y P$. Suppose the Jacobian polynomial $P$ satisfies the intersection condition satisfying $\dim_{\mathbb C} \mathbb C[x,y]/\langle P, P_y\rangle=\deg P-1$, we can prove that the Keller map which has $P$ as one of coordinate polynomial always has its inverse. Keywords : polar, class of plane curve, plane Jacobian conjecture MSC numbers : Primary 32S55; Secondary 14H20 Downloads: Full-text PDF