Introduction to Compact Riemann Surfaces and Dessins d'Enfants

Introduction to Compact Riemann Surfaces and Dessins d'Enfants pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:Ernesto Girondo
出品人:
页数:310
译者:
出版时间:2012-2-20
价格:USD 51.00
装帧:Paperback
isbn号码:9780521740227
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图书标签:
  • 数学 
  • 西班牙 
  • AG 
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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.

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