Work

Classification of Polynomial Models Without 2-Jet Determination in $$\mathbb {C}^3$$

Year: 2026

Type: article

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.

Source: Journal of Geometric Analysis

DOI: 10.1007/s12220-026-02338-8

Authors: Martin Kolář, Petr Liczman, Francine Meylan

Institutions: Masaryk University, University of Fribourg

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Grantová Agentura České Republiky, Masarykova Univerzita