Degeneracy of holomorphic maps via orbifolds

Erwan Rousseau (1)

1 IRMA - Institut de Recherche Mathématique Avancée

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.

Mots clés: entire curves; orbifolds; hyperbolicity

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

Erwan Rousseau. Degeneracy of holomorphic maps via orbifolds. 2009. ⟨hal-00368847⟩