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Look Inside Introduction to Compact Riemann Surfaces and Dessins d’Enfants

Introduction to Compact Riemann Surfaces and Dessins d’Enfants

Part of London Mathematical Society Student Texts

Authors:
Ernesto Girondo, Universidad Autónoma de Madrid
Gabino González-Diez, Universidad Autónoma de Madrid

Date Published: December 2011
availability: Available
format: Hardback
isbn: 9780521519632

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About the Authors

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 2011 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.
- One of the first books to introduce the Belyi–Grothendieck theory of dessins d'enfants
- Accessible to a wide range of readers, from undergraduates to specialists
- Features include numerous worked examples and illustrations
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Product details
- Date Published: December 2011
- format: Hardback
- isbn: 9780521519632
- length: 312 pages
- dimensions: 229 x 152 x 21 mm
- weight: 0.57kg
- contains: 90 b/w illus.
- availability: Available
Table of Contents
1. Riemann surfaces and algebraic curves
2. Riemann surfaces and Fuchsian groups
3. Belyi's theorem
4. Dessins d'enfants
References
Index.
Look Inside
Authors
Ernesto Girondo, Universidad Autónoma de Madrid
Ernesto Girondo is Profesor Titular de Geometría y Topología in the Department of Mathematics at Universidad Autónoma de Madrid.
Gabino González-Diez, Universidad Autónoma de Madrid
Gabino González-Diez is Catedrático de Geometría y Topología in the Department of Mathematics at Universidad Autónoma de Madrid.