On the Chekhov-Fock coordinates of dessins d'enfants
Algebraic Geometry
2007-05-23 v1 Complex Variables
Abstract
There are several ways to associate a complex structure to a ribbon graph. In the construction of dessins d'enfants a single riemann surface is associated to each graph. We call it the Grothendieck model of a ribbon graph. The goal of the present paper is to discuss one more such construction, depending on some parameters - that of Chekhov-Fock. We prove that putting all parametres equal to 0, we obtain the Grothendieck model of this graph.
Keywords
Cite
@article{arxiv.math/0210183,
title = {On the Chekhov-Fock coordinates of dessins d'enfants},
author = {G. Shabat and V. Zolotarskaia},
journal= {arXiv preprint arXiv:math/0210183},
year = {2007}
}
Comments
9 pages