Weighted multidegrees of polynomial automorphisms over a domain
Commutative Algebra
2013-05-02 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.1305.0093,
title = {Weighted multidegrees of polynomial automorphisms over a domain},
author = {Shigeru Kuroda},
journal= {arXiv preprint arXiv:1305.0093},
year = {2013}
}