The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors
| Autor: | Ascher, Kenneth, Turchet, Amos, Yeong, Wern |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove that the complement of a very general pair of hypersurfaces of total degree $2n$ in $\mathbb{P}^n$ is algebraically hyperbolic modulo a proper closed subvariety. This provides evidence towards conjectures of Lang-Vojta and Green-Griffiths, and partially extends previous work of Chen, Pacienza-Rousseau, and Chen-Riedl and the third author. Comment: 14 pages, comments welcome! |
| Databáze: | arXiv |
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