Holonomy representation of quasi-projective leaves of codimension one foliations

Benoît Claudon (1) , Frank Loray (2) , Jorge Vitório Pereira (3) , Frédéric Touzet (2)

1 Géométrie
2 IRMAR - Institut de Recherche Mathématique de Rennes
3 IMPA - Instituto Nacional de Matemática Pura e Aplicada

We prove that a representation of the fundamental group of a quasi-projective manifold either is virtually abelian or, after taking the quotient by its center, factors through an orbicurve.

Mots clés: Quasi-projective groups; Holonomy representations

Domaines: Géométrie algébrique [math.AG]; Systèmes dynamiques [math.DS]

Benoît Claudon, Frank Loray, Jorge Vitório Pereira, Frédéric Touzet. Holonomy representation of quasi-projective leaves of codimension one foliations. 2017. ⟨hal-01499785v1⟩