Regularity of CR-mappings between Fuchsian type hypersurfaces in C2
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Complex Analysis and its Synergies |
| MU Faculty or unit | |
| 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. |
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