Algebraic Hyperbolicity of Complements of Generic Hypersurfaces in Projective Spaces
Abstract
We study the algebraic hyperbolicity of the complement of very general degree 2n hypersurfaces in Pn. 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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