Nonlinearizable CR automorphisms for polynomial models in $\mathbb C^N$
Complex Variables
2020-04-29 v1
Abstract
We classify polynomial models for real hypersurfaces in , 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.
Cite
@article{arxiv.2004.13516,
title = {Nonlinearizable CR automorphisms for polynomial models in $\mathbb C^N$},
author = {Martin Kolář and Francine Meylan},
journal= {arXiv preprint arXiv:2004.13516},
year = {2020}
}
Comments
23 pages. arXiv admin note: text overlap with arXiv:1703.07123