The equivalence theory for infinite type hypersurfaces in C^2

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00125331" target="_blank" >RIV/00216224:14310/22:00125331 - isvavai.cz</a>
Result on the web
<a href="https://www.ams.org/journals/tran/2022-375-06/S0002-9947-2022-08627-X/" target="_blank" >https://www.ams.org/journals/tran/2022-375-06/S0002-9947-2022-08627-X/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/tran/8627" target="_blank" >10.1090/tran/8627</a>

Result language
angličtina
Original language name
The equivalence theory for infinite type hypersurfaces in C^2
Original language description
We develop a classification theory for real-analytic hypersurfaces in in the case when the hypersurface is of infinite type at the reference point. This is the remaining, not yet understood case in in the Problème local, formulated by H. Poincaré in 1907 and asking for a complete biholomorphic classification of real hypersurfaces in complex space. One novel aspect of our results is a notion of smooth normal forms for real-analytic hypersurfaces. We rely fundamentally on the recently developed CR-DS technique in CR-geometry.
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
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
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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