Introduction to Compact Riemann Surfaces and Dessins d'Enfants (London Mathematical Society Student Texts, Vol. 79) - Hardcover

Girondo, Ernesto; González-Diez, Gabino

Hardcover

ISBN 10: 0521519632 ISBN 13: 9780521519632

Publisher: Cambridge University Press, 2012

Synopsis

Few books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field of research. In this book, the authors begin with an elementary account of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups of finite type. They then use this knowledge to introduce the reader to the theory of dessins d'enfants and its connection with algebraic curves defined over number fields. A large number of worked examples are provided to aid understanding, so no experience beyond the undergraduate level is required. Readers without any previous knowledge of the field of dessins d'enfants are taken rapidly to the forefront of current research.

About this title

Book Description

Starting with a friendly account of the theory of compact Riemann surfaces, this 2011 book then introduces the Belyi-Grothendieck 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.

About the Author

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2012
• ISBN 10: 0521519632
• ISBN 13: 9780521519632
• Binding: Hardcover
• Language: English
• Number of pages: 312