Nonlinear CR automorphisms of Levi degenerate hypersurfaces and a new gap phenomenon
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00108232" target="_blank" >RIV/00216224:14310/19:00108232 - isvavai.cz</a>
Result on the web
<a href="http://annaliscienze.sns.it/public/pdf/abstracts/2019/02_KOLAR_etal_ab.pdf" target="_blank" >http://annaliscienze.sns.it/public/pdf/abstracts/2019/02_KOLAR_etal_ab.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2422/2036-2145.201703_016" target="_blank" >10.2422/2036-2145.201703_016</a>
Alternative languages
Result language
angličtina
Original language name
Nonlinear CR automorphisms of Levi degenerate hypersurfaces and a new gap phenomenon
Original language description
We give a complete classification of polynomial models for smooth real hypersurfaces of finite Catlin multitype in C-3, which admit nonlinear infinitesimal CR automorphisms. As a consequence, we obtain a sharp 1-jet determination result for any smooth hypersurface with such a model. The results also prove a conjecture of the first author about the origin of such nonlinear automorphisms (AIM list of problems, 2010). As another consequence, we describe all possible dimensions of the Lie algebra of infinitesimal CR automorphisms, which leads to a new "secondary" gap phenomenon.
Czech name
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Czech description
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Classification
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
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
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
ISSN
0391-173X
e-ISSN
—
Volume of the periodical
19
Issue of the periodical within the volume
3
Country of publishing house
IT - ITALY
Number of pages
22
Pages from-to
847-868
UT code for WoS article
000486320800002
EID of the result in the Scopus database
2-s2.0-85080145060