6 papers · 1 filter
Generalized algebraic Morse inequalities and Hasse-Schmidt jet differentials
Benoit Cadorel
This is a remastered and expanded version of a an earlier preprint of the author, in which we give a fully algebraic proof of an important theorem of Demailly, stating the existenc…
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…
Hyperbolicity of generic hypersurfaces of polynomial degree via Green-Griffiths jet differentials
Benoit Cadorel
We give a new version of a recent result of B{é}rczi-Kirwan, proving the Kobayashi and Green-Griffiths-Lang conjectures for generic hypersurfaces in the projective space , with a…
Uniformization of varieties with log-canonical singularities
Benoit Cadorel
We study the problem of uniformizing quasi-projective varieties with logcanonical compactifications. More precisely, given a complex projective variety X with log-canonical singula…