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arXiv · 2410.00640

The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors

Kenneth Ascher·Amos Turchet·Wern Yeong
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Abstract

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.

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Kenneth Ascher, Amos Turchet, Wern Yeong. 2024-10-01. The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors. https://arxiv.org/abs/2410.00640

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