Algebraic Hyperbolicity of Complements of Generic Hypersurfaces in Projective Spaces
Algebraic Geometry
2023-10-31 v2 Number Theory
Abstract
We study the algebraic hyperbolicity of the complement of very general degree 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.
Keywords
Cite
@article{arxiv.2208.07401,
title = {Algebraic Hyperbolicity of Complements of Generic Hypersurfaces in Projective Spaces},
author = {Xi Chen and Eric Riedl and Wern Yeong},
journal= {arXiv preprint arXiv:2208.07401},
year = {2023}
}
Comments
Corrected a gap in the proof of Theorem 3.1. The statements remain unchanged