Dessins d'enfants on Riemann surfaces /

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Bibliographic Details
Author / Creator:Jones, Gareth A., 1946- author.
Imprint:Cham : Springer, [2016]
©2016
Description:1 online resource
Language:English
Series:Springer monographs in mathematics
Springer monographs in mathematics.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11254052
Hidden Bibliographic Details
Other authors / contributors:Wolfart, Jürgen, author.
ISBN:9783319247113
3319247115
3319247093
9783319247090
9783319247090
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
English.
Vendor-supplied metadata.
Summary:This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces. The first part of the book presents basic material, guiding the reader through the current field of research. A key point of the second part is the interplay between the automorphism groups of dessins and their Riemann surfaces, and the action of the absolute Galois group on dessins and their algebraic curves. It concludes by showing the links between the theory of dessins and other areas of arithmetic and geometry, such as the abc conjecture, complex multiplication and Beauville surfaces. Dessins d'Enfants on Riemann Surfaces will appeal to graduate students and all mathematicians interested in maps, hypermaps, Riemann surfaces, geometric group actions, and arithmetic.
Other form:Printed edition: 9783319247090
Standard no.:10.1007/978-3-319-24711-3