The jet transcendence degree of a real hypersurface and Huang-Ji-Yau Conjecture
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929246340907008 |
|---|---|
| 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 |