Dessins d'Enfants on Riemann Surfaces

• Κύριοι συγγραφείς: Jones, Gareth A. (Συγγραφέας), Wolfart, Jürgen (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Έκδοση: 1st ed. 2016.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Algebraic geometry.; Group theory.; Functions of complex variables.; Hyperbolic geometry.; Algebraic Geometry.; Group Theory and Generalizations.; Functions of a Complex Variable.; Several Complex Variables and Analytic Spaces.; Hyperbolic Geometry.

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...

Πίνακας περιεχομένων:

• 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.