Dessins d''Enfants on Riemann Surfaces
Softcover reprint of the original 1st ed. 2016
Book Details
Format
Paperback / Softback
Book Series
Springer Monographs in Mathematics
ISBN-10
331979664X
ISBN-13
9783319796642
Edition
Softcover reprint of the original 1st ed. 2016
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Apr 19th, 2018
Print length
259 Pages
Ksh 21,600.00
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This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces.
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.
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