Informace o publikaci

Nonlinear CR automorphisms of Levi degenerate hypersurfaces and a new gap phenomenon

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KOLÁŘ Martin MEYLAN-RIVIER Francine Antoinette

Druh Článek v odborném periodiku
Časopis / Zdroj ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www http://annaliscienze.sns.it/public/pdf/abstracts/2019/02_KOLAR_etal_ab.pdf
Doi http://dx.doi.org/10.2422/2036-2145.201703_016
Klíčová slova CHERN-MOSER OPERATORS; REAL HYPERSURFACES; FINITE-TYPE; JET DETERMINATION; SYMMETRIES; RIGIDITY
Popis 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.
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