9 citations · 15 across the 10 of their papers we have counts for
11 papers
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…
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:…
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…
Linear Shafarevich Conjecture in positive characteristic, Hyperbolicity and Applications
Ya Deng, Katsutoshi Yamanoi
Given a complex quasi-projective normal variety and a linear representation with any field of positive characteristic, we mainly establi…
Reductive Shafarevich Conjecture
Ya Deng, Katsutoshi Yamanoi, Ludmil Katzarkov
In this paper, we prove the holomorphic convexity of the covering of a complex projective {normal} variety , which corresponds to the intersection of kernels of reductive repres…
Bloch's principle for holomorphic maps into subvarieties of semi-abelian varieties
Katsutoshi Yamanoi
We generalize a fundamental theorem in higher dimensional value distribution theory about entire curves in subvarieties of semi-abelian varieties to the situation of the sequen…