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ISBN 10: 0521003504
ISBN 13: 978-0521003506
Author: E. Bujalance, A. F. Costa, E. Martínez
This book presents a cross-section of different aspects of Riemann surfaces, introducing the reader to the basics as well as highlighting new developments in the field. It provides a mixture of classical material, recent results and some non-mainstream topics. The book is based on lectures from the conference Topics on Riemann Surfaces and Fuchsian Groups held in Madrid to mark the 25th anniversary of the Universidad Nacional de Educación a Distancia.
Introduction
The Geometry of Riemann Surfaces
Introduction to Arithmetic Fuchsian Groups
Riemann Surfaces, Belyi Functions and Hypermaps
Compact Riemann Surfaces and Algebraic Function Fields
Symmetries of Riemann Surfaces from a Combinatorial Point of View
Compact Klein Surfaces and Real Algebraic Curves
Moduli Spaces of Real Algebraic Curves
Period Matrices and the Schottky Problem
Hurwitz Spaces
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