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pro vyhledávání: '"Cadorel, Benoit"'
Autor:
Cadorel, Benoit
We study the problem of uniformizing quasi-projective varieties with logcanonical compactifications. More precisely, given a complex projective variety X with log-canonical singularities, we give criteria for X to be isomorphic to a Baily-Borel-Mok c
Externí odkaz:
http://arxiv.org/abs/2408.17120
Autor:
Cadorel, Benoit
We give a new version of a recent result of B{\'e}rczi-Kirwan, proving the Kobayashi and Green-Griffiths-Lang conjectures for generic hypersurfaces in the projective space , with a polynomial lower bound on the degree. Our strategy again relies on Si
Externí odkaz:
http://arxiv.org/abs/2406.19003
This paper investigates the relationship between the hyperbolicity of complex quasi-projective varieties $X$ and the (topological) fundamental group $\pi_1(X)$ in the presence of a linear representation $\varrho: \pi_1(X) \to {\rm GL}_N(\mathbb{C})$.
Externí odkaz:
http://arxiv.org/abs/2212.12225
Autor:
Cadorel, Benoît, Deng, Ya
For a quasi-compact K\"ahler manifold $U$ endowed with a nilpotent harmonic bundle whose Higgs field is injective at one point, we prove that $U$ is pseudo-algebraically hyperbolic, pseudo-Picard hyperbolic, and is of log general type. Moreover, we p
Externí odkaz:
http://arxiv.org/abs/2107.07550
Inspired by the computation of the Kodaira dimension of symmetric powers Xm of a complex projective variety X of dimension n $\ge$ 2 by Arapura and Archava, we study their analytic and algebraic hyperbolic properties. First we show that Xm is special
Externí odkaz:
http://arxiv.org/abs/2007.07572
Autor:
Cadorel, Benoit
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 type. To this end, we introduce a new algebraic version of the Morse ineq
Externí odkaz:
http://arxiv.org/abs/1912.03952
Let $X$ be a quotient of a bounded domain in $\mathbb C^n$. Under suitable assumptions, we prove that every subvariety of $X$ not included in the branch locus of the quotient map is of log general type in some orbifold sense. This generalizes a recen
Externí odkaz:
http://arxiv.org/abs/1905.04212
Autor:
Cadorel, Benoit
We present a new criterion for the complex hyperbolicity of a non-compact quotient X of a bounded symmetric domain. For each p $\ge$ 1, this criterion gives a precise condition under which the subvarieties V $\subset$ X with dim V $\ge$ p are of gene
Externí odkaz:
http://arxiv.org/abs/1809.10978
We study the hyperbolicity of singular quotients of bounded symmetric domains. We give effective criteria for such quotients to satisfy Green-Griffiths-Lang's conjectures in both analytic and algebraic settings. As an application, we show that Hilber
Externí odkaz:
http://arxiv.org/abs/1710.08832
Autor:
Cadorel, Benoit
Publikováno v:
Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2019
We give explicit estimates for the volume of the Green-Griffiths jet differentials of any order on a toroidal compactification of a ball quotient. To this end, we first determine the growth of the logarithmic Green-Griffiths jet differentials on thes
Externí odkaz:
http://arxiv.org/abs/1707.07875