论文标题
弱的kähler双曲歧管和绿色 - griffiths-猜想
Weakly Kähler hyperbolic manifolds and the Green--Griffiths--Lang conjecture
论文作者
论文摘要
我们介绍了弱的Kähler双曲线歧管的概念，该歧管概述了Gromov M. Gromov在90年代初给出的Kähler双曲线歧管的概念，并建立了其基本特征。然后，我们研究其光谱特性，并显示光谱间隙结果（适当的修饰）。作为应用，我们证明了弱的kähler双曲线歧管是一般类型的，我们研究了它们的亚变量和整个曲线的几何形状，除其他外，还验证了Lang和Green-Griffiths的各个方面。
We introduce the notion of weakly Kähler hyperbolic manifold which generalizes that of Kähler hyperbolic manifold given in the early '90s by M. Gromov, and establish its basic features. We then investigate its spectral properties and show a spectral gap result (on a suitable modification). As applications, we prove that weakly Kähler hyperbolic manifolds are of general type and we study the geometry of their subvarieties and entire curves, verifying -- among other things -- various aspects of the Lang and the Green--Griffiths conjectures for this class of manifolds.
