Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414477 | Journal of Algebra | 2015 | 25 Pages |
Abstract
To solve Nagata's conjecture, Shestakov-Umirbaev constructed a theory for deciding wildness of polynomial automorphisms in three variables. Recently, KaraÅ and others studied multidegrees of polynomial automorphisms as an application of this theory. They give various necessary conditions for triples of positive integers to be multidegrees of tame automorphisms in three variables. In this paper, we prove a strong theorem unifying and generalizing these results using the generalized Shestakov-Umirbaev theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shigeru Kuroda,