An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants. Series: London Mathematical Society Student Texts. Num Pages: 310 pages, 90 b/w illus. BIC Classification: PBKD; PBPD. Category: (P) Professional & Vocational. Dimension: 150 x 229 x 16. Weight in Grams: 458. . 2011. Illustrated. paperback. . . . .

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Bibliographic Details

Title: Introduction to Compact Riemann Surfaces and Dessins d'Enfants: 79 (London Mathematical Society Student Texts, Series Number 79)
Publisher: Cambridge University Press
Publication Date: 2011
Language: English
ISBN 10: 0521740223
ISBN 13: 9780521740227
Binding: Soft cover
Condition: New

About this title

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 the Authors

Ernesto Girondo is Profesor Titular de Geometr�a y Topolog�a in the Department of Mathematics at Universidad Aut�noma de Madrid.

Gabino Gonz�lez-Diez is Catedr�tico de Geometr�a y Topolog�a in the Department of Mathematics at Universidad Aut�noma de Madrid.

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