Weighted multidegrees of polynomial automorphisms over a domain

2013/05/01 by Shigeru Kuroda, Kuroda, Shigeru
Mathematics · Physics and Astronomy · #14R10 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1305.0093

openalex publication_date 2013/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Multidegrees of Tame automorphisms with one prime number

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