Chern-Moser operators and polynomial models in CR geometry

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00079896" target="_blank" >RIV/00216224:14310/14:00079896 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.aim.2014.06.017" target="_blank" >http://dx.doi.org/10.1016/j.aim.2014.06.017</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2014.06.017" target="_blank" >10.1016/j.aim.2014.06.017</a>

Result language
angličtina
Original language name
Chern-Moser operators and polynomial models in CR geometry
Original language description
We consider the fundamental invariant of a real hypersurface in C-N - its holomorphic symmetry group - and analyze its structure at a point of degenerate Levi form. Generalizing the Chern-Moser operator to hypersurfaces of finite multitype, we compute the Lie algebra of infinitesimal symmetries of the model and provide explicit description for each graded component. Compared with a hyperquadric, it may contain additional components consisting of nonlinear vector fields defined in terms of complex tangential variables. As a consequence, we obtain exact results on jet determination for hypersurfaces with such models. The results generalize directly the fundamental result of Chern and Moser from quadratic models to polynomials of higher degree. (C) 2014 Elsevier Inc. All rights reserved.
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
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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