Real-analytic coordinates for smooth strictly pseudoconvex CR-structures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00134146" target="_blank" >RIV/00216224:14310/22:00134146 - isvavai.cz</a>
Result on the web
<a href="https://arxiv.org/abs/1906.09989" target="_blank" >https://arxiv.org/abs/1906.09989</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4310/MRL.2022.v29.n5.a7" target="_blank" >10.4310/MRL.2022.v29.n5.a7</a>

Result language
angličtina
Original language name
Real-analytic coordinates for smooth strictly pseudoconvex CR-structures
Original language description
For a smooth strictly pseudoconvex hypersurface in a complex manifold, we give a necessary and sufficient condition for being CR-diffeomorphic to a real-analytic CR manifold. Our condition amounts to a holomorphic extension property for the canonically associated function expressing 2-jets of the formal Segre varieties in terms of their 1-jets. We also express this condition in equivalent terms for a Fefferman type determinant [Fe76].
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)

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

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