کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587603 1334150 2009 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Relations between the leading terms of a polynomial automorphism
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Relations between the leading terms of a polynomial automorphism
چکیده انگلیسی

Let I be the ideal of relations between the leading terms of the polynomials defining an automorphism of Kn. In this paper, we prove the existence of a locally nilpotent derivation which preserves I. Moreover, if I is principal, i.e. I=(R), we compute an upper bound for deg2(R) for some degree function deg2 defined by the automorphism. As applications, we determine all the principal ideals of relations for automorphisms of K3 and deduce two elementary proofs of the Jung–van der Kulk Theorem about the tameness of automorphisms of K2.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 322, Issue 2, 15 July 2009, Pages 579-599