The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors
Abstract
We prove that the complement of a very general pair of hypersurfaces of total degree 2n in Pn 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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