$Regularity of CR-mappings between Fuchsian type hypersurfaces in $\mathbb C^2$

Regularity of CR-mappings between Fuchsian type hypersurfaces in $\mathbb C^2

We investigate regularity of CR-mappings between real-analytic infinite type hypersurfaces in $\mathbb C^2$. 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 cert...

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Hauptverfasser:	Ebenfelt, P, Kossovskiy, I, Lamel, B
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Complex Variables Mathematics - Dynamical Systems
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Zusammenfassung:	We investigate regularity of CR-mappings between real-analytic infinite type hypersurfaces in $\mathbb C^2$. 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.
DOI:	10.48550/arxiv.2002.11527