English

Foliations on modular curves

Number Theory 2017-03-21 v5 Dynamical Systems Geometric Topology

Abstract

It is proved, that a foliation on a modular curve given by the vertical trajectories of holomorphic differential corresponding to the Hecke eigenform is either the Strebel foliation or the pseudo-Anosov foliation.

Keywords

Cite

@article{arxiv.0903.2983,
  title  = {Foliations on modular curves},
  author = {Igor Nikolaev},
  journal= {arXiv preprint arXiv:0903.2983},
  year   = {2017}
}

Comments

to appear Bulletin of the Brazilian Mathematical Society, New Series

R2 v1 2026-06-21T12:41:34.877Z