Regularity of CR-mappings between Fuchsian type hypersurfaces in C2
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00114558" target="_blank" >RIV/00216224:14310/20:00114558 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s40627-020-00051-y" target="_blank" >https://doi.org/10.1007/s40627-020-00051-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40627-020-00051-y" target="_blank" >10.1007/s40627-020-00051-y</a>
Alternative languages
Result language
angličtina
Original language name
Regularity of CR-mappings between Fuchsian type hypersurfaces in C2
Original language 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.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA17-19437S" target="_blank" >GA17-19437S: Classification problems for real hypersurfaces in complex space</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Complex Analysis and its Synergies
ISSN
2197-120X
e-ISSN
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Volume of the periodical
6
Issue of the periodical within the volume
2
Country of publishing house
CH - SWITZERLAND
Number of pages
11
Pages from-to
17-27
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85132158205