Introduction to Compact Riemann Surfaces and Dessins D'Enfants (London Mathematical Society Student Texts 79)

Introduction to Compact Riemann Surfaces and Dessins D'Enfants (London Mathematical Society Student Texts 79)

By: Ernesto Girondo (author), Gabino Gonzalez-Diez (author)Paperback

1 - 2 weeks availability

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.

Create a review

About Author

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.

Contents

1. Riemann surfaces and algebraic curves; 2. Riemann surfaces and Fuchsian groups; 3. Belyi's theorem; 4. Dessins d'enfants; References; Index.

Product Details

  • publication date: 22/12/2011
  • ISBN13: 9780521740227
  • Format: Paperback
  • Number Of Pages: 310
  • ID: 9780521740227
  • weight: 460
  • ISBN10: 0521740223

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close