Topics on Riemann surfaces and Fuchsian groups

✍ Scribed by Bujalance E., Costa A.F., Martinez E. (eds.)

• Publisher: CUP
• Year: 2001
• Tongue: English
• Leaves: 192
• Series: London Mathematical Society Lecture Note Series 287
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Contents......Page 6
PREFACE......Page 8
INTRODUCTION......Page 10
THE GEOMETRY OF RIEMANN SURFACES......Page 16
INTRODUCTION TO ARITHMETIC FUCHSIAN GROUPS......Page 44
RIEMANN SURFACES, BELYI FUNCTIONS AND HYPERMAPS......Page 58
COMPACT RIEMANN SURFACES AND ALGEBRAIC FUNCTION FIELDS......Page 84
SYMMETRIES OF RIEMANN SURFACES FROM A COMBINATORIAL POINT OF VIEW Grzegorz Gromadzki......Page 106
COMPACT KLEIN SURFACES AND REAL ALGEBRAIC CURVES......Page 128
MODULI SPACES OF REAL ALGEBRAIC CURVES......Page 148
PERIOD MATRICES AND THE SCHOTTKY PROBLEM......Page 170
HURWITZ SPACES......Page 180