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math.AG2025
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…
math.AG2025
Hyperbolicity and fundamental groups of complex quasi-projective varieties (II): via non-abelian Hodge theories
Benoit Cadorel, Ya Deng, Katsutoshi Yamanoi
This is Part II of a series of three papers. We studies the hyperbolicity of complex quasi-projective varieties in the presence of a big and reductive representation $\varrho:…
math.AG2025
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…