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This work classifies polynomial models of Levi-degenerate hypersurfaces in C3, revealing their algebraic structure.
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 C³ 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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Kolář et al. (2026) studied this question.
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