English

Analytic continuation of holonomy germs of Riccati foliations along Brownian paths

Geometric Topology 2015-08-26 v2 Complex Variables Dynamical Systems

Abstract

This paper deals with the question of analytic continuation of holonomy germs of holomorphic foliations. We prove that for a quasi-minimal Riccati foliation of the complex projective plane, any holonomy germ of the foliation between complex projective lines can be analytically continued along a generic Brownian path.

Keywords

Cite

@article{arxiv.1310.4763,
  title  = {Analytic continuation of holonomy germs of Riccati foliations along Brownian paths},
  author = {Nicolas Hussenot},
  journal= {arXiv preprint arXiv:1310.4763},
  year   = {2015}
}