A Morse-Bott normal form for real analytic Levi-flat hypersurfaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914130928074752 |
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| author | Fernández-Pérez, Arturo Marra, Gustavo |
| author_facet | Fernández-Pérez, Arturo Marra, Gustavo |
| contents | We prove the existence of a normal form for a real-analytic Levi-flat hypersurface defined by the vanishing of the real part of a holomorphic function with a Morse-Bott singularity. As a consequence, we recover the Burns-Gong normal form for Levi-flat hypersurfaces with generic Morse singularities and provide a new normal form for a certain class of real analytic quadratic Levi-flat hypersurfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01088 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Morse-Bott normal form for real analytic Levi-flat hypersurfaces Fernández-Pérez, Arturo Marra, Gustavo Complex Variables We prove the existence of a normal form for a real-analytic Levi-flat hypersurface defined by the vanishing of the real part of a holomorphic function with a Morse-Bott singularity. As a consequence, we recover the Burns-Gong normal form for Levi-flat hypersurfaces with generic Morse singularities and provide a new normal form for a certain class of real analytic quadratic Levi-flat hypersurfaces. |
| title | A Morse-Bott normal form for real analytic Levi-flat hypersurfaces |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2511.01088 |