Publication details

2-Jet determination on pseudoconvex hypersurfaces in C3

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Authors

KOLÁŘ Martin LICZMAN Petr MEYLAN Francine

Year of publication 2025
Type Article in Periodical
Magazine / Source INTERNATIONAL JOURNAL OF MATHEMATICS
MU Faculty or unit

Faculty of Science

Citation
web https://doi.org/10.1142/S0129167X25500594
Doi https://doi.org/10.1142/S0129167X25500594
Keywords Infinitesimal CR automorphisms; Levi degenerate manifolds; pseudoconvexity; Catlin multitype
Description We show that pseudoconvex hypersurfaces of finite Catlin multitype with holomorphically nondegenerate models in C3 do not admit exotic symmetries. As a consequence, this leads to a sharp 2-jet determination result for such manifolds. The results provide a necessary step toward understanding local invariants and equivalence of weakly pseudoconvex hypersurfaces.
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