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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Introduction to Compact Riemann Surfaces and Dessins d'Enfants

Introduction to Compact Riemann Surfaces and Dessins d'Enfants

Girondo, Ernesto
Gonzalez-Diez, Gabino

Hardcover

Series: London Mathematical Society Student Texts, Book 79

General Mathematics

ISBN10: 0521519632
ISBN13: 9780521519632
Publisher: Cambridge University Press
Published: Dec 22 2011
Pages: 312
Weight: 1.25
Height: 0.80 Width: 6.00 Depth: 9.00
Language: English
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 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.

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