Degenerate hypersurfaces with a two-parametric family of automorphisms

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F09%3A00029303" target="_blank" >RIV/00216224:14310/09:00029303 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Degenerate hypersurfaces with a two-parametric family of automorphisms

Original language description

We give a complete classification of Levi-degenerate hypersurfaces of finite type in C^2 with two-dimensional symmetry groups. Our analysis is based on the classification of two-dimensional Lie algebras and an explicit description of isotropy groups forsuch hypersurfaces, which follows from the construction of Chern-Moser type normal forms at points of finite type, developed in [M. Kolar, Normal forms for hypersurfaces of finite type in C^2, Math. Res. Lett. 12 (2005), pp. 897-910].

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F08%2F0397" target="_blank" >GA201/08/0397: Algebraic methods in geometry and topology</a><br>

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2009

Confidentiality

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

Name of the periodical

Complex Variables and Elliptic Equations

ISSN

1747-6933

e-ISSN

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Volume of the periodical

54

Issue of the periodical within the volume

3-4

Country of publishing house

GB - UNITED KINGDOM

Number of pages

9

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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