Classification of polynomial models without 2-jet determination in $\mathbb{C}^3$
Complex Variables
2025-01-09 v1
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 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.
Cite
@article{arxiv.2501.04530,
title = {Classification of polynomial models without 2-jet determination in $\mathbb{C}^3$},
author = {Petr Liczman and Martin Kolář and Francine Meylan},
journal= {arXiv preprint arXiv:2501.04530},
year = {2025}
}