English

Smooth Riemannian Structures on Dessins d'Enfants

Differential Geometry 2017-09-25 v2

Abstract

We show how to define a canonical Riemannian metric on a "dessin d'enfants' drawn on a topological surface. This gives a possible explanation of a claim of A. Grothendieck.

Keywords

Cite

@article{arxiv.1706.09158,
  title  = {Smooth Riemannian Structures on Dessins d'Enfants},
  author = {Jean-Marie Morvan},
  journal= {arXiv preprint arXiv:1706.09158},
  year   = {2017}
}

Comments

38 pages

R2 v1 2026-06-22T20:31:52.212Z