It was conjectured by Lang that a complex projective man-ifold is Kobayashi hyperbolic if and only if it is of general type together with all of its subvarieties. We verify this conjecture for projective mani-folds whose universal cover carries a bounded, strictly plurisubharmonic function. This includes in particular compact free quotients of bounded domains
Main results extended to arbitrary quotient singularities and all bounded symmetric domains.Internat...
Abstract. We study the hyperbolicity of the log vari-ety (Pn,X), where X is a very general hypersurf...
We construct elementary counterexamples to the criterion for Kobayashi hyperbolicity for a class of ...
It was conjectured by Lang that a complex projective man-ifold is Kobayashi hyperbolic if and only i...
It was conjectured by Lang that a complex projective man-ifold is Kobayashi hyperbolic if and only i...
It was conjectured by Lang that a complex projective man-ifold is Kobayashi hyperbolic if and only i...
This paper supersedes submission hal-01092537 / arXiv:1412.2986The Green-Griffiths-Lang conjecture ...
This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in con...
minor revisions; references updated. Accepted for publication in Geometric And Functional Analysis (...
Since there is no Uniformization Theorem in several complex variables, there is a desire to classify...
on the occasion of his sixtieth birthday In 1970 Sh. Kobayashi posed the following problems [Kol]: L...
This is the merger of the last version and the paper arXiv:1809.05891, with minor improvements.For s...
International audienceWe study the hyperbolicity of compactifications of quotients of bounded symmet...
Contribution to the 16th Takagi lectures in celebration of the 100th anniversary of K.Kodaira's birt...
Main results extended to arbitrary quotient singularities and all bounded symmetric domains.Internat...
Main results extended to arbitrary quotient singularities and all bounded symmetric domains.Internat...
Abstract. We study the hyperbolicity of the log vari-ety (Pn,X), where X is a very general hypersurf...
We construct elementary counterexamples to the criterion for Kobayashi hyperbolicity for a class of ...
It was conjectured by Lang that a complex projective man-ifold is Kobayashi hyperbolic if and only i...
It was conjectured by Lang that a complex projective man-ifold is Kobayashi hyperbolic if and only i...
It was conjectured by Lang that a complex projective man-ifold is Kobayashi hyperbolic if and only i...
This paper supersedes submission hal-01092537 / arXiv:1412.2986The Green-Griffiths-Lang conjecture ...
This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in con...
minor revisions; references updated. Accepted for publication in Geometric And Functional Analysis (...
Since there is no Uniformization Theorem in several complex variables, there is a desire to classify...
on the occasion of his sixtieth birthday In 1970 Sh. Kobayashi posed the following problems [Kol]: L...
This is the merger of the last version and the paper arXiv:1809.05891, with minor improvements.For s...
International audienceWe study the hyperbolicity of compactifications of quotients of bounded symmet...
Contribution to the 16th Takagi lectures in celebration of the 100th anniversary of K.Kodaira's birt...
Main results extended to arbitrary quotient singularities and all bounded symmetric domains.Internat...
Main results extended to arbitrary quotient singularities and all bounded symmetric domains.Internat...
Abstract. We study the hyperbolicity of the log vari-ety (Pn,X), where X is a very general hypersurf...
We construct elementary counterexamples to the criterion for Kobayashi hyperbolicity for a class of ...