Topics on Riemann Surfaces and Fuchsian Groups

E. Bujalance, A. F. Costa, E. Martinez

178 pages, parution le 16/10/2001

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Résumé

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. For those wishing to pursue research in this area, this volume offers a valuable summary of contemporary thought and a source of fresh geometric and algebraic insights. The book will be suitable for graduate courses, as well as providing a useful reference for those already working in geometry, group theory, complex analysis, algebraic geometry, topology and theoretical physics.

Contents

Preface
Introduction
The Geometry of Riemann surfaces 1
Introduction arithmetic of Fuchsian groups 29
Riemann surfaces, Belyi functions and hypermaps 43
Compact Riemann surface and algebraic function fields 69
Symmetries of Riemann surfaces from a combinatorial point of view 91
Compact Klein surfaces and real algebraic curves 113
Moduli spaces of real algebraic curves 133
Period matrices and the Schottky problem 155
Hurwitz spaces 165

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	E. Bujalance, A. F. Costa, E. Martinez
Parution	16/10/2001
Nb. de pages	178
Format	15 x 22,8
Couverture	Broché
Poids	276g
Intérieur	Noir et Blanc
EAN13	9780521003506
ISBN13	978-0-521-00350-6