Introduction to Compact Riemann Surfaces and Dessins d'Enfants: (London Mathematical Society Student Texts)
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Ernesto Girondo (Author) Gabino Gonzalez-Diez (Author)
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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. Worked examples or Exercises; 30 Halftones, unspecified; 60 Line drawings, unspecified
About the 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.
More Details
- Contributor: Ernesto Girondo
- Imprint: Cambridge University Press
- ISBN13: 9780521740227
- Number of Pages: 310
- Packaged Dimensions: 153x228x16mm
- Packaged Weight: 460
- Format: Paperback
- Publisher: Cambridge University Press
- Release Date: 2011-12-22
- Series: London Mathematical Society Student Texts
- Binding: Paperback / softback
- Biography: 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.
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