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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.01555 |
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| _version_ | 1866929246340907008 |
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| author | Gregorovic, Jan Kossovskiy, Ilya |
| author_facet | Gregorovic, Jan Kossovskiy, Ilya |
| contents | We investigate the problem of holomorphic algebraizibility for real hypersurfaces in complex space. We introduce a new invariant of a (real-analytic) Levi-nondegenerate hypersurface called {\em the jet transcendence degree}. Using this invariant, we solve in the negative the Conjecture of Huang, Ji and Yau on the algabraizability of real hypersurfaces with algebraic syzygies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01555 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The jet transcendence degree of a real hypersurface and Huang-Ji-Yau Conjecture Gregorovic, Jan Kossovskiy, Ilya Complex Variables We investigate the problem of holomorphic algebraizibility for real hypersurfaces in complex space. We introduce a new invariant of a (real-analytic) Levi-nondegenerate hypersurface called {\em the jet transcendence degree}. Using this invariant, we solve in the negative the Conjecture of Huang, Ji and Yau on the algabraizability of real hypersurfaces with algebraic syzygies. |
| title | The jet transcendence degree of a real hypersurface and Huang-Ji-Yau Conjecture |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2401.01555 |