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

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.

23 pages. arXiv admin note: text overlap with arXiv:1703.07123