A better proof of the Goldman-Parker conjecture.
A construction of hyperbolic hypersurface of P... ( C ).
A generalization of Pick's theorem and its applications to intrinsic metrics
A Generalization of Schwarz Lemma.
A generalized Bloch' s theorem and the hyperbolicity of the complement of an ample divisor in an Abelian variety.
A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles
We show a relation between the Kobayashi pseudodistance of a holomorphic fiber bundle and the Kobayashi pseudodistance of its base. Moreover, we prove that a holomorphic fiber bundle is taut iff both the fiber and the base are taut.
A Schwarz lemma for correspondences and applications.
A version of the Schwarz lemma for correspondences is studied. Two applications are obtained namely, the 'non-increasing' property of the Kobayashi metric under correspondences and a weak version of the Wong-Rosay theorem for convex, finite type domains admitting a 'non-compact' family of proper correspondences.
Algebraic families of smooth hyperbolic surfaces of low degree in P3C.
An application of a theorem of Huber in holomorphic foliation theory
An embedding of C in C² with hyperbolic complement.
Automorphisms of certain Stein mainfolds.
Bending deformations of complex hyperbolic surfaces.
Big Picard theorems for holomorphic mappings into the complement of moving hypersurfaces in .
Compact complex manifolds with numerically effective cotangent bundles.
Concave domains with trivial biholomorphic invariants
It is proved that if F is a convex closed set in ℂⁿ, n ≥2, containing at most one (n-1)-dimensional complex hyperplane, then the Kobayashi metric and the Lempert function of ℂⁿ∖ F identically vanish.
Courbes entières dans les surfaces algébriques complexes
Degeneracy of holomorphic maps via orbifolds
We use orbifold structures to deduce degeneracy statements for holomorphic maps into logarithmic surfaces. We improve former results in the smooth case and generalize them to singular pairs. In particular, we give applications on nodal surfaces and complements of singular plane curves.
Dirichlet domains for the Mostow lattices.
Étude des jets de Demailly-Semple en dimension 3
Dans cet article nous faisons l’étude algébrique des jets de Demailly-Semple en dimension 3 en utilisant la théorie des invariants des groupes non réductifs. Cette étude fournit la caractérisation géométrique du fibré des jets d’ordre 3 sur une variété de dimension 3 et permet d’effectuer, par Riemann-Roch, un calcul de caractéristique d’Euler.
Fixed points for automorphisms in Cartan domains of type IV