Introduction to Compact Riemann Surfaces and Dessins d'Enfants

An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants.

Informationen zum Autor Ernesto Girondo is Profesor Titular de Geometría y Topología in the Department of Mathematics at Universidad Autónoma de Madrid. Klappentext An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants. Zusammenfassung Starting with a friendly account of the theory of compact Riemann surfaces, this 2011 book then introduces the BelyiGrothendieck theory of dessins d'enfants, taking the reader with no previous knowledge of the subject to the forefront of current research. Many worked examples and illustrations are provided. Inhaltsverzeichnis 1. Riemann surfaces and algebraic curves; 2. Riemann surfaces and Fuchsian groups; 3. Belyi's theorem; 4. Dessins d'enfants; References; Index.

Zusammenfassung
Starting with a friendly account of the theory of compact Riemann surfaces, this 2011 book then introduces the BelyiGrothendieck theory of dessins d'enfants, taking the reader with no previous knowledge of the subject to the forefront of current research. Many worked examples and illustrations are provided.

Inhalt
1. Riemann surfaces and algebraic curves; 2. Riemann surfaces and Fuchsian groups; 3. Belyi's theorem; 4. Dessins d'enfants; References; Index.

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