Weighted multidegrees of polynomial automorphisms over a domain

被引：1
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
收藏
页码：119 / 149
页数：31
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