论文标题

射影空间中通用性超曲面补充的代数双曲线

Algebraic Hyperbolicity of Complements of Generic Hypersurfaces in Projective Spaces

论文作者

Chen, Xi, Riedl, Eric, Yeong, Wern

论文摘要

我们研究了p^n中非常一般程度$ 2N $ hypersurfaces的补充的代数双曲线。我们证明了这些补充的代数绿色 - 长石 - 朗格的猜想,在四分之一平面曲线的补充中,我们将特殊的基因座描述为flex和bitangengent线的结合。

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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