2 citations · 3 across the 3 of their papers we have counts for
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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…
Picard hyperbolicity of manifolds admitting nilpotent harmonic bundles
Benoît Cadorel, Ya Deng
For a quasi-compact Kähler manifold endowed with a nilpotent harmonic bundle whose Higgs field is injective at one point, we prove that is pseudo-algebraically hyperbolic,…
Hyperbolicity and Specialness of Symmetric Powers
Benoit Cadorel, Frédéric Campana, Erwan Rousseau
Inspired by the computation of the Kodaira dimension of symmetric powers Xm of a complex projective variety X of dimension n 2 by Arapura and Archava, we study their analytic…
Generalized algebraic Morse inequalities and jet differentials
Benoit Cadorel
We give a fully algebraic proof of an important theorem of Demailly, stating the existence of many Green-Griffiths jet differentials on a complex projective manifold of general typ…
Subvarieties of quotients of bounded symmetric domains
Benoit Cadorel
We present a new criterion for the complex hyperbolicity of a non-compact quotient X of a bounded symmetric domain. For each p 1, this criterion gives a precise condition und…
Hyperbolicity of varieties supporting a variation of Hodge structure
Yohan Brunebarbe, Benoit Cadorel
We generalize former results of Zuo and the first author showing some hyperbolicity properties of varieties supporting a variation of Hodge structure. Our proof only uses the speci…