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arXiv · 2208.07401

Algebraic Hyperbolicity of Complements of Generic Hypersurfaces in Projective Spaces

Xi Chen·Eric Riedl·Wern Yeong
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Abstract

We study the algebraic hyperbolicity of the complement of very general degree $2n$ hypersurfaces in P^n. We prove the Algebraic Green-Griffiths-Lang Conjecture for these complements, and in the case of the complement of a quartic plane curve, we completely characterize the exceptional locus as the union of the flex and bitangent lines.

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Xi Chen, Eric Riedl, Wern Yeong. 2022-08-15. Algebraic Hyperbolicity of Complements of Generic Hypersurfaces in Projective Spaces. https://arxiv.org/abs/2208.07401

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