Topics on Riemann surfaces and Fuchsian groups / edited by E. Bujalance, A.F. Costa, E. Martínez.

Format:

Book

Contributor:

Bujalance García, Emilio, editor.

Costa, A. F., 1960- editor.

Martínez, E., 1952- editor.

Series:

London Mathematical Society lecture note series ; 287.

London Mathematical Society lecture note series ; 287

Language:

English

Subjects (All):

Riemann surfaces--Congresses.

Fuchsian groups--Congresses.

Physical Description:

1 online resource (xiii, 177 pages) : digital, PDF file(s).

Other Title:

Topics on Riemann Surfaces & Fuchsian Groups

Place of Publication:

Cambridge : Cambridge University Press, 2001.

Language Note:

English

Summary:

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:

The geometry of Riemann surfaces / A.F. Beardon

Introduction arithmetic of Fuchsian groups / C. Maclachlan

Riemann surfaces, Belyi functions and hypermaps / D. Singerman

Compact Riemann surfaces and algebraic function fields / P. Turbek

Symmetries of Riemann surfaces from a combinatorial point of view / G. Gromadzki

Compact Klein surfaces and real algebraic curves / F.J. Cirre & J.M. Gamboa

Moduli spaces of real algebraic curves / M. Seppälä

Period matrices and the Schottky problem / R. Silhol

Hurwitz spaces / S.M. Natanzon.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references.

ISBN:

1-139-88353-4

1-107-36563-5

1-107-37037-X

1-107-36072-2

1-107-37029-9

1-299-40345-X

1-107-36317-9

0-511-56927-0