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

The result's identifiers

  • 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>

Alternative languages

  • 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&gt;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

  • Czech description

Classification

  • 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

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

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal für die Reine und Angewandte Mathematik

  • ISSN

    0075-4102

  • e-ISSN

    1435-5345

  • Volume of the periodical

    749

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    25

  • Pages from-to

    201-225

  • UT code for WoS article

    000462744900006

  • EID of the result in the Scopus database

    2-s2.0-85064228323