Dessins d'Enfants on Riemann Surfaces (Hardcover, 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Monographs in Mathematics
Release date:	March 2016
First published:	2016
Authors:	Gareth A. Jones • Jurgen Wolfart
Dimensions:	235 x 155 x 22mm (L x W x T)
Format:	Hardcover
Pages:	259
Edition:	1st ed. 2016
ISBN-13:	978-3-319-24709-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
LSN:	3-319-24709-3
Barcode:	9783319247090

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