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Introduction to Compact Riemann Surfaces and Dessins d’Enfants

$52.99 (P)

Part of London Mathematical Society Student Texts

  • Date Published: February 2012
  • availability: In stock
  • format: Paperback
  • isbn: 9780521740227

$ 52.99 (P)
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About the Authors
  • 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.

    • One of the first books to introduce the Belyi–Grothendieck theory of dessins d'enfants
    • Accessible to a wide range of readers, from undergraduates to specialists
    • Features include numerous worked examples and illustrations
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    Reviews & endorsements

    "Overall the text is very well written and easy to follow, partly due to the abundance of good concrete examples in every single section illustrating concepts from the very basic to the very technical."
    Aaron D. Wootton, Mathematical Reviews

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    Product details

    • Date Published: February 2012
    • format: Paperback
    • isbn: 9780521740227
    • length: 310 pages
    • dimensions: 228 x 153 x 16 mm
    • weight: 0.46kg
    • contains: 90 b/w illus.
    • availability: In stock
  • Table of Contents

    1. Riemann surfaces and algebraic curves
    2. Riemann surfaces and Fuchsian groups
    3. Belyi's theorem
    4. Dessins d'enfants
    References
    Index.

  • Authors

    Ernesto Girondo, Universidad Autónoma de Madrid
    Ernesto Girondo is Profesor Titular de Geometría y Topología in the Department of Mathematics at Universidad Autónoma de Madrid.

    Gabino González-Diez, Universidad Autónoma de Madrid
    Gabino González-Diez is Catedrático de Geometría y Topología in the Department of Mathematics at Universidad Autónoma de Madrid.

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