1 option
Dessins d'enfants on Riemann surfaces / by Gareth A. Jones, Jürgen Wolfart.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Author/Creator:
- Jones, Gareth A., Author.
- Wolfart, Jürgen., Author.
- Series:
- Springer Monographs in Mathematics, 1439-7382
- Language:
- English
- Subjects (All):
- Geometry, Algebraic.
- Group theory.
- Functions of complex variables.
- Geometry, Hyperbolic.
- Algebraic Geometry.
- Group Theory and Generalizations.
- Functions of a Complex Variable.
- Several Complex Variables and Analytic Spaces.
- Hyperbolic Geometry.
- Local Subjects:
- Algebraic Geometry.
- Group Theory and Generalizations.
- Functions of a Complex Variable.
- Several Complex Variables and Analytic Spaces.
- Hyperbolic Geometry.
- Physical Description:
- 1 online resource (264 p.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2016.
- Language Note:
- English
- Summary:
- 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:
- 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.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 3-319-24711-5
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.