The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913525422620672 |
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| author | Ascher, Kenneth Turchet, Amos Yeong, Wern |
| author_facet | Ascher, Kenneth Turchet, Amos Yeong, Wern |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00640 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors Ascher, Kenneth Turchet, Amos Yeong, Wern Algebraic Geometry Number Theory 14J70, 14C20, 32Q45 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. |
| title | The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors |
| topic | Algebraic Geometry Number Theory 14J70, 14C20, 32Q45 |
| url | https://arxiv.org/abs/2410.00640 |