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Introduction to Compact Riemann Surfaces and Dessins d’Enfants PDF

311 Pages·2012·2.355 MB·English
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by Ernesto Girondo, Gabino González-Diez| 2012| 311 pages| 2.355| English

About Introduction to Compact Riemann Surfaces and Dessins d’Enfants

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.

Detailed Information

Author:Ernesto Girondo, Gabino González-Diez
Publication Year:2012
ISBN:9780521519632
Pages:311
Language:English
File Size:2.355
Format:PDF
Price:FREE
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