Finite A-determinacy of generic homogeneous map germs in ℂ³

2019/08/28 by Michał Farnik, Zbigniew Jelonek, Farnik, M. +3
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1908.10675

openalex publication_date 2019/08/28 · openalex created_date 2019/09/05 · openalex updated_date 2026/07/28

Abstract

Denote by H(d₁,d₂,d₃) the set of all homogeneous polynomial mappings F=(f₁,f₂,f₃): \C³→\C³, such that °f_i=d_i. We show that if gcd(d_i,d_j)≤ 2 for 1≤ i

Citations

• Stability of C ∞ Mappings: II. Infinitesimal Stability Implies Stability

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