Equivalence of three-dimensional Cauchy-Riemann manifolds and multisummability theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00125330" target="_blank" >RIV/00216224:14310/22:00125330 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0001870821005569" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0001870821005569</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2021.108117" target="_blank" >10.1016/j.aim.2021.108117</a>

Result language
angličtina
Original language name
Equivalence of three-dimensional Cauchy-Riemann manifolds and multisummability theory
Original language description
We apply the multisummability theory from Dynamical Sys- tems to CR-geometry. As the main result, we show that two real-analytic hypersurfaces in C^2 are formally equivalent, if and only if they are C∞ CR-equivalent at the respective point. As a corollary, we prove that all formal equivalences between real-algebraic Levi-nonflat hypersurfaces in C^2 are algebraic (and in particular convergent). By doing so, we solve a Con- jecture due to N. Mir [29].
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

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)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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