Classification of polynomial models without 2-jet determination in $\mathbb{C}^3$
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910777151062016 |
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| author | Liczman, Petr Kolář, Martin Meylan, Francine |
| author_facet | Liczman, Petr Kolář, Martin Meylan, Francine |
| contents | 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 $\mathbb{C}^3$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04530 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of polynomial models without 2-jet determination in $\mathbb{C}^3$ Liczman, Petr Kolář, Martin Meylan, Francine Complex Variables 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 $\mathbb{C}^3$ 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. |
| title | Classification of polynomial models without 2-jet determination in $\mathbb{C}^3$ |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2501.04530 |