Remarks on the Symmetries of a Model Hypersurface

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00127778" target="_blank" >RIV/00216224:14310/22:00127778 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10476-022-0157-3" target="_blank" >https://link.springer.com/article/10.1007/s10476-022-0157-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10476-022-0157-3" target="_blank" >10.1007/s10476-022-0157-3</a>

Result language
angličtina
Original language name
Remarks on the Symmetries of a Model Hypersurface
Original language description
In this partly expository paper, we deal with sharp jet determination results following from a generalization of the Chern—Moser theory to Levi degenerate hypersurfaces with polynomial models, as obtained in [30]. We formulate the jet determination results for finitely smooth hypersurfaces of finite type. Another goal of the paper is to gain more understanding of the symmetries for such hypersurfaces, which violate 2-jet determination. Finally, we collect and state some open problems regarding the existence of graded components of strictly positive weight of the Lie Algebra of symmetries for the model hypersurface.
Czech name
—
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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