Introduction to Compact Riemann Surfaces and Dessins d'Enfants

by Ernesto Girondo, Gabino Gonzalez-Diez

Part of the London Mathematical Society Student Texts Series

Introduction to Compact Riemann Surfaces and Dessins d'Enfants 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 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.

Introduction to Compact Riemann Surfaces and Dessins d'Enfants Press Reviews

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

Book Information

ISBN: 9780521519632
Publication date: 22nd December 2011
Author: Ernesto Girondo, Gabino Gonzalez-Diez
Publisher: Cambridge University Press
Format: Hardback
Pagination: 312 pages
Categories: Complex analysis, complex variables, Algebraic topology,

About Ernesto Girondo, Gabino Gonzalez-Diez

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.

More About Ernesto Girondo, Gabino Gonzalez-Diez

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