Publication details
Classification of Polynomial Models Without 2-Jet Determination in C3
| Authors | |
|---|---|
| Year of publication | 2026 |
| Type | Peer-reviewed scientific article |
| Magazine / Source | JOURNAL OF GEOMETRIC ANALYSIS |
| MU Faculty or unit | |
| Citation | |
| web | https://link.springer.com/article/10.1007/s12220-026-02338-8 |
| Doi | https://doi.org/10.1007/s12220-026-02338-8 |
| Keywords | Infinitesimal CR automorphisms; Levi degenerate manifolds; Catlin multitype |
| Attached files | |
| Description | An intriguing phenomenon regarding Levi-degenerate hypersurfaces is the existence of nontrivial infinitesimal symmetries with vanishing 2-jets at a point. In this work we consider polynomial models of Levi-degenerate real hypersurfaces in C-3 of finite Catlin multitype. Exploiting the structure of the corresponding Lie algebra, we characterize completely models without 2-jet determination, including an explicit description of their symmetry algebras. |
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