English

Holonomy representation of quasi-projective leaves of codimension one foliations

Algebraic Geometry 2021-02-23 v3 Dynamical Systems

Abstract

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

Keywords

Cite

@article{arxiv.1704.00484,
  title  = {Holonomy representation of quasi-projective leaves of codimension one foliations},
  author = {Benoît Claudon and Frank Loray and Jorge Pereira and Frédéric Touzet},
  journal= {arXiv preprint arXiv:1704.00484},
  year   = {2021}
}

Comments

8 pages; comments are welcome. v2: precisions added