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Dessins d'Enfants on Riemann Surfaces
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Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Dessins d'Enfants on Riemann Surfaces ([EBook]) / by Gareth A. Jones, Jürgen Wolfart.
Author
Jones, Gareth A. , 1946-
Added Personal Name
Wolfart, Jürgen
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2016.
Publication
Cham : Springer International Publishing , 2016.
Physical Details
XIV, 259 p. 41 illus. in color. : online resource.
Series
Springer monographs in mathematics
1439-7382
ISBN
9783319247113
Summary Note
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.:
Contents note
Historical and introductory background -- Graph embeddings -- Dessins and triangle groups -- Galois actions -- Quasiplatonic surfaces, and automorphisms -- Regular maps -- Regular embeddings of complete graphs -- Wilson operations -- Further examples -- Arithmetic aspects -- Beauville surfaces.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-24711-3
Links to Related Works
Subject References:
Algebraic Geometry
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Functions of complex variables
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Group theory
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Hyperbolic Geometry
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Mathematics
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Authors:
author
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Jones, Gareth A. 1946-
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Wolfart, Jürgen
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer monographs in mathematics
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Classification:
516.35
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