Classification of Polynomial Models Without 2-Jet Determination in $$\mathbb {C}^3$$
Abstract
Abstract 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 $$\mathbb {C}^3$$ 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.
Fields of Study & Subjects
Geometry and complex manifolds
Holomorphic and Operator Theory
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Journal of Geometric Analysis
- Volume
- 36
- Issue
- 3
- Publication date
- 30 January 2026
- Language
- EN