Weighted multidegrees of polynomial automorphisms over a domain

被引：2

作者：

Kuroda, Shigeru ^{[1
]}

机构：

[1] Tokyo Metropolitan Univ, Dept Math & Informat Sci, 1-1 Minami Osawa, Hachioji, Tokyo 1920397, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2016年 / 68卷 / 01期

基金：

日本学术振兴会;

关键词：

tame automorphism; stable coordinate; weighted degree; WILD AUTOMORPHISMS; TAME; INVARIANTS;

D O I：

10.2969/jmsj/06810119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of the weighted degree of a polynomial is a basic tool in Affine Algebraic Geometry. In this paper, we study the properties of the weighted multidegrees of polynomial automorphisms by a new approach which focuses on stable coordinates. We also present some applications of the generalized Shestakov-Umirbaev theory.

引用

页码：119 / 149

页数：31

共 25 条

[21] The tame and the wild automorphisms of polynomial rings in three variables [J].