
Introduction to Compact Riemann Surfaces and Dessins d'Enfants
Cambridge University Press
Published on 22. December 2011
Book
Paperback/Softback
310 pages
978-0-521-74022-7 (ISBN)
Description
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.
Reviews / Votes
"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
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises; 30 Halftones, unspecified; 60 Line drawings, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 19 mm
Weight
509 gr
ISBN-13
978-0-521-74022-7 (9780521740227)
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Schweitzer Classification
Other editions
Additional editions

Ernesto Girondo | Gabino Gonzalez-Diez
Introduction to Compact Riemann Surfaces and Dessins d'Enfants
E-Book
02/2012
1st Edition
Cambridge University Press
€47.49
Available for download

Ernesto Girondo | Gabino Gonzalez-Diez
Introduction to Compact Riemann Surfaces and Dessins d'Enfants
Book
12/2011
Cambridge University Press
€163.70
Shipment within 15-20 days
Persons
Ernesto Girondo is Profesor Titular de Geometria y Topologia in the Department of Mathematics at Universidad Autonoma de Madrid. Gabino Gonzalez-Diez is Catedratico de Geometria y Topologia in the Department of Mathematics at Universidad Autonoma de Madrid.
Author
Universidad Autonoma de Madrid
Universidad Autonoma de Madrid
Content
1. Riemann surfaces and algebraic curves; 2. Riemann surfaces and Fuchsian groups; 3. Belyi's theorem; 4. Dessins d'enfants; References; Index.