ENGLISH

Introduction to Compact Riemann Surfaces and Dessins d’Enfants

By Ernesto Girondo , Gabino González-Diez

Book information

Publisher
Cambridge University Press
Year
2012
ISBN
0521519632, 9780521519632
Language
english
Format
PDF
Filesize
3 MB (3134647 bytes)
Series
London Mathematical Society Student Texts volume 79
Edition
1
Pages
311\311
Orientation
yes
Scanned
no
Time added
2012-03-09 12:00:00

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 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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