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Dessins d'Enfants on Riemann Surfaces (Paperback, Softcover reprint of the original 1st ed. 2016)
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Dessins d'Enfants on Riemann Surfaces (Paperback, Softcover reprint of the original 1st ed. 2016)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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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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