4 papers
Topology, Hyperbolicity, and the Shafarevich Conjecture for Complex Algebraic Varieties
Ya Deng
This survey presents recent developments concerning the Shafarevich conjecture, non-abelian Hodge theories, hyperbolicity, and the topology of complex algebraic varieties, as well…
Hyperbolicity and fundamental groups of complex quasi-projective varieties (III): applications
Benoit Cadorel, Ya Deng, Katsutoshi Yamanoi
This paper is Part III of a series of three. We begin by introducing the notion of -special varieties, which can be seen as varieties "chain-connected by the Zariski closures of…
Hodge theory for local systems and cohomological support loci
Junyan Cao, Ya Deng, Christopher D. Hacon +1
In this article, we pursue two main objectives. The first is to show that the fundamental results of Green-Lazarsfeld (1987, 1991) on generic vanishing theorems, and works of Budur…
Hyperbolicity and fundamental groups of complex quasi-projective varieties (I): Maximal quasi-Albanese dimension by Nevanlinna theory
Benoit Cadorel, Ya Deng, Katsutoshi Yamanoi
This is the first part of a series of three papers. In this paper, we establish a Big Picard type theorem for holomorphic maps , where is a ramified covering of the…