Hyperbolicity of geometric orbifolds

Erwan Rousseau (1)

1 IRMA - Institut de Recherche Mathématique Avancée

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 entire curves with ramification in situations where no Second Main Theorem is known from value distribution theory.

Mots clés: orbifolds; Kobayashi hyperbolicity; entire curves

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Erwan Rousseau. Hyperbolicity of geometric orbifolds. 2008. ⟨hal-00319552⟩