Nonlinearizable CR automorphisms for polynomial models in \mathbb C^N

2020/04/26 by Martin Kolář, Kolář, Martin, Francine Meylan +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2004.13516

openalex publication_date 2020/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify polynomial models for real hypersurfaces in \mathbb C^N, which admit nonlinearizable infinitesimal CR automorphisms. As a consequence, this provides an optimal 1-jet determination result in the general case. Further we prove that such automorphisms arise from one common source, by pulling back via a holomorphic mapping a suitable symmetry of a hyperquadric in some complex space.

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