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Nonlinearizable CR automorphisms for polynomial models in $\mathbb C^N$ (2004.13516v1)

Published 26 Apr 2020 in math.CV

Abstract: We classify polynomial models for real hypersurfaces in $\mathbb CN$, 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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