Informace o publikaci
Holomorphic vector fields with real integral manifolds
| Autoři | |
|---|---|
| Rok publikování | 2025 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | ADVANCES IN MATHEMATICS |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://www.sciencedirect.com/science/article/pii/S0001870825005377 |
| Doi | https://doi.org/10.1016/j.aim.2025.110639 |
| Klíčová slova | CR manifolds; Infinitesimal automorphisms; Holomorphic vector fields; Invariant manifolds |
| Popis | We classify singular holomorphic vector fields in C2 admitting a (Levi-nonflat) real-analytic invariant 3-fold through the singularity. In this way, we complete the classification of infinitesimal symmetries of real-analytic Levi-nonflat hypersurfaces in complex two-space. The classification of holomorphic vector fields obtained in the paper has very interesting overlaps with the recent Lombardi-Stolovitch classification theory for holomorphic vector fields at a singularity. In particular, we show that most of the resonances arising in Lombardi-Stolovitch theory do not occur under the presence of (Levi-nonflat) integral manifolds. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. |
| Související projekty: |