5 papers
Generalized Demailly-Semple jet bundles and holomorphic mappings into complex manifolds
Gianluca Pacienza, Erwan Rousseau
Motivated by the Green-Griffiths conjecture, we study maximal rank holomorphic maps from $\C^p$ into complex manifolds. When such maps should in principle be more tractable t…
Hyperbolicity of geometric orbifolds
Erwan Rousseau
We study complex hyperbolicity in the setting of geometric orbifolds introduced by F. Campana. Generalizing classical methods to this context, we obtain degeneracy statements for e…
Hyperbolicité des variétés complexes
Erwan Rousseau
These notes were written for the Cours Peccot given at the Collège de France in 2007.
Logarithmic vector fields and hyperbolicity
Erwan Rousseau
In this article we prove that the complement of a very generic curve of degree at least equal to 14 in the complex projective plane is hyperbolic in the sense of Kobayashi. Thus, u…
Etude des jets de Demailly-Semple en dimension 3
Erwan Rousseau
Demailly-Semple jets are studied using the invariant theory of non reductive groups. The geometric characterization of the 3-jets bundle in dimension 3 is given and provides a Riem…