Regularity of CR-mappings between Fuchsian type hypersurfaces in C2

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Authors	EBENFELT Peter KOSSOVSKIY Ilya LAMEL Bernhard
Year of publication	2020
Type	Article in Periodical
Magazine / Source	Complex Analysis and its Synergies
MU Faculty or unit	Faculty of Science
Citation
Web	https://doi.org/10.1007/s40627-020-00051-y
Doi	http://dx.doi.org/10.1007/s40627-020-00051-y
Keywords	CR-mapping; Fuchsian differential equations; holomorphic mappings; real hypersurfaces
Description	We investigate regularity of CR-mappings between real-analytic infinite type hypersurfaces in C2. 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.
Related projects:	Klasifikační problémy pro reálné nadplochy v komplexním prostoru