Regularity of CR-mappings between Fuchsian type hypersurfaces in $\mathbb C^2$
Complex Variables
2020-02-27 v1 Dynamical Systems
Abstract
We investigate regularity of CR-mappings between real-analytic infinite type hypersurfaces in . We show that, under the Fuchsian type condition, all (respectively formal or smooth) CR-diffeomorphisms between them are automatically analytic. The Fuchsian condition appears to be in a certain sense optimal for the regularity problem.
Keywords
Cite
@article{arxiv.2002.11527,
title = {Regularity of CR-mappings between Fuchsian type hypersurfaces in $\mathbb C^2$},
author = {P. Ebenfelt and I. Kossovskiy and B. Lamel},
journal= {arXiv preprint arXiv:2002.11527},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1811.01649