Convergent normal form for real hypersurfaces at a generic Levi-degeneracy

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00107482" target="_blank" >RIV/00216224:14310/19:00107482 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyter.com/view/j/crelle.2019.2019.issue-749/crelle-2016-0034/crelle-2016-0034.xml" target="_blank" >https://www.degruyter.com/view/j/crelle.2019.2019.issue-749/crelle-2016-0034/crelle-2016-0034.xml</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/crelle-2016-0034" target="_blank" >10.1515/crelle-2016-0034</a>

Result language
angličtina
Original language name
Convergent normal form for real hypersurfaces at a generic Levi-degeneracy
Original language description
We construct a complete convergent normal form for a real hypersurface in C^N for N>1 at a generic Levi-degeneracy. This seems to be the first convergent normal form for a Levi-degenerate hypersurface. As an application of the convergence result, we obtain an explicit description of the moduli space of germs of real-analytic hypersurfaces with a generic Levi-degeneracy. As another application, we obtain, in the spirit of the work of Chern and Moser, distinguished curves inside the Levi-degeneracy set that we call degenerate chains.
Czech name
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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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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