1. Riemann surfaces and algebraic curves; 2. Riemann surfaces and Fuchsian groups; 3. Belyi's theorem; 4. Dessins d'enfants; References; Index.
An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi–Grothendieck theory of dessins d'enfants.
Ernesto Girondo is Profesor Titular de Geometría y Topología in the Department of Mathematics at Universidad Autónoma de Madrid. Gabino González-Diez is Catedrático de Geometría y Topología in the Department of Mathematics at Universidad Autónoma de Madrid.
"Overall the text is very well written and easy to follow, partly
due to the abundance of good concrete examples in every single
section illustrating concepts from the very basic to the very
technical."
Aaron D. Wootton, Mathematical Reviews
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