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Dessins d'enfants on 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 aut...

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Detalles Bibliográficos
Autores principales: Jones, Gareth A, Wolfart, Jürgen
Lenguaje:eng
Publicado: Springer 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-24711-3
http://cds.cern.ch/record/2143579
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author Jones, Gareth A
Wolfart, Jürgen
author_facet Jones, Gareth A
Wolfart, Jürgen
author_sort Jones, Gareth A
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
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spelling cern-21435792021-04-21T19:44:53Zdoi:10.1007/978-3-319-24711-3http://cds.cern.ch/record/2143579engJones, Gareth AWolfart, JürgenDessins d'enfants on Riemann surfacesMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:21435792016
spellingShingle Mathematical Physics and Mathematics
Jones, Gareth A
Wolfart, Jürgen
Dessins d'enfants on Riemann surfaces
title Dessins d'enfants on Riemann surfaces
title_full Dessins d'enfants on Riemann surfaces
title_fullStr Dessins d'enfants on Riemann surfaces
title_full_unstemmed Dessins d'enfants on Riemann surfaces
title_short Dessins d'enfants on Riemann surfaces
title_sort dessins d'enfants on riemann surfaces
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-24711-3
http://cds.cern.ch/record/2143579
work_keys_str_mv AT jonesgaretha dessinsdenfantsonriemannsurfaces
AT wolfartjurgen dessinsdenfantsonriemannsurfaces