Holomorphic Equivalence and Nonlinear Symmetries of Ruled Hypersurfaces in C-2

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00087098" target="_blank" >RIV/00216224:14310/15:00087098 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s12220-013-9465-y" target="_blank" >http://dx.doi.org/10.1007/s12220-013-9465-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12220-013-9465-y" target="_blank" >10.1007/s12220-013-9465-y</a>

Result language
angličtina
Original language name
Holomorphic Equivalence and Nonlinear Symmetries of Ruled Hypersurfaces in C-2
Original language description
We solve the local equivalence problem for ruled hypersurfaces in C-2 at a point of infinite type by giving a normal form. We describe all ruled hypersurfaces which admit nonlinear symmetries and give their complete characterization according to the dimension of their automorphism group. As an application, we give a bound for the dimension of the stability group for a family of nonminimal hypersurfaces.
Czech name
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Czech description
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Type
J<sub>x</sub> - 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/EE2.3.20.0003" target="_blank" >EE2.3.20.0003: Algebraic methods in Geometry with views towards Applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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