Introduction to compact Riemann surfaces and dessins d'enfants
Author(s)
Bibliographic Information
Introduction to compact Riemann surfaces and dessins d'enfants
（London Mathematical Society student texts, 79）
Cambridge University Press, 2012
- : hardback
- : pbk
Available at / 38 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hardbackGIR||14||1200021324894
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Hiroshima University Central Library, Interlibrary Loan
: hardback413.53:G-474000419568,
: pbk413.53:G-472000467698 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
: hardback/G 4442080289227
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Note
Includes bibliographical references (p. 291-295) and index
Description and Table of Contents
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 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.
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.
by "Nielsen BookData"
