HIGHER ORDER SYMMETRIES OF REAL HYPERSURFACES IN C-3

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F16%3A00094002" target="_blank" >RIV/00216224:14310/16:00094002 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1090/proc/13090" target="_blank" >http://dx.doi.org/10.1090/proc/13090</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1090/proc/13090" target="_blank" >10.1090/proc/13090</a>

Jazyk výsledku

angličtina

Název v původním jazyce

HIGHER ORDER SYMMETRIES OF REAL HYPERSURFACES IN C-3

Popis výsledku v původním jazyce

We study nonlinear automorphisms of Levi degenerate hypersurfaces of finite multitype. By results of Kolar, Meylan, and Zaitsev in 2014, the Lie algebra of infinitesimal CR automorphisms may contain a graded component consisting of nonlinear vector fields of arbitrarily high degree, which has no analog in the classical Levi nondegenerate case, or in the case of finite type hypersurfaces in C-2. We analyze this phenomenon for hypersurfaces of finite Catlin multitype with holomorphically nondegenerate models in complex dimension three. The results provide a complete classification of such manifolds. As a consequence, we show on which hypersurfaces 2-jets are not sufficient to determine an automorphism. The results also confirm a conjecture about the origin of nonlinear automorphisms of Levi degenerate hypersurfaces, formulated by the first author for an AIM workshop in 2010.

Název v anglickém jazyce

HIGHER ORDER SYMMETRIES OF REAL HYPERSURFACES IN C-3

Popis výsledku anglicky

We study nonlinear automorphisms of Levi degenerate hypersurfaces of finite multitype. By results of Kolar, Meylan, and Zaitsev in 2014, the Lie algebra of infinitesimal CR automorphisms may contain a graded component consisting of nonlinear vector fields of arbitrarily high degree, which has no analog in the classical Levi nondegenerate case, or in the case of finite type hypersurfaces in C-2. We analyze this phenomenon for hypersurfaces of finite Catlin multitype with holomorphically nondegenerate models in complex dimension three. The results provide a complete classification of such manifolds. As a consequence, we show on which hypersurfaces 2-jets are not sufficient to determine an automorphism. The results also confirm a conjecture about the origin of nonlinear automorphisms of Levi degenerate hypersurfaces, formulated by the first author for an AIM workshop in 2010.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/EE2.3.20.0003" target="_blank" >EE2.3.20.0003: Algebraické metody v geometrii s potenciálem k aplikacím</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Proceedings of the American Mathematical Society

ISSN

0002-9939

e-ISSN

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Svazek periodika

144

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

12

Strana od-do

4807-4818

Kód UT WoS článku

000384000300024

EID výsledku v databázi Scopus

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