کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587958 1334166 2008 95 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some thoughts on the Jacobian Conjecture, Part II
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Some thoughts on the Jacobian Conjecture, Part II
چکیده انگلیسی

In Abhyankar's Purdue Lectures of 1971, the bivariate Jacobian Conjecture was settled for the case of two plus epsilon characteristic pairs. In the published version, the epsilon part got left out. Now we take care of the omission by preparing for a sharper result with full proof in Part III. The Jacobian Method is applied to giving a new simple proof of Jung's Automorphism Theorem. A detailed description of the Degreewise Newton Polygon is given. Some thoughts on the multivariate Jacobian Conjecture are included.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 3, 1 February 2008, Pages 1154-1248