Open Access
January, 2016 Weighted multidegrees of polynomial automorphisms over a domain
Shigeru KURODA
J. Math. Soc. Japan 68(1): 119-149 (January, 2016). DOI: 10.2969/jmsj/06810119

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.

Citation

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Shigeru KURODA. "Weighted multidegrees of polynomial automorphisms over a domain." J. Math. Soc. Japan 68 (1) 119 - 149, January, 2016. https://doi.org/10.2969/jmsj/06810119

Information

Published: January, 2016
First available in Project Euclid: 25 January 2016

zbMATH: 1362.14063
MathSciNet: MR3454556
Digital Object Identifier: 10.2969/jmsj/06810119

Subjects:
Primary: 14R10
Secondary: 13F20

Keywords: stable coordinate , tame automorphism , weighted degree

Rights: Copyright © 2016 Mathematical Society of Japan

Vol.68 • No. 1 • January, 2016
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