Regularity of CR-mappings between Fuchsian type hypersurfaces in C2

• Autoři: EBENFELT Peter; KOSSOVSKIY Ilya; LAMEL Bernhard
• Rok publikování: 2020
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Complex Analysis and its Synergies
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://doi.org/10.1007/s40627-020-00051-y
• Doi: http://dx.doi.org/10.1007/s40627-020-00051-y
• Klíčová slova: CR-mapping; Fuchsian differential equations; holomorphic mappings; real hypersurfaces
• Popis: 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.

Související projekty

• Klasifikační problémy pro reálné nadplochy v komplexním prostoru