Geometry of Riemann Surfaces and Teichmüller Spaces

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Geometry of Riemann Surfaces and...

Geometry of Riemann Surfaces and Teichmüller Spaces

Name: Geometry of Riemann Surfaces and Teichmüller Spaces
ISBN: 9780444888464

Mika Seppälä and Tuomas Sorvali (Eds.)

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The moduli problem is to describe the structure of the space of isomorphism classes of Riemann surfaces of a given topological type. This space is known as the moduli space and has been at the center of pure mathematics for more than a hundred years. In spite of its age, this field still attracts a lot of attention, the smooth compact Riemann surfaces being simply complex projective algebraic curves. Therefore the moduli space of compact Riemann surfaces is also the moduli space of complex algebraic curves. This space lies on the intersection of many fields of mathematics and may be studied from many different points of view.

The aim of this monograph is to present information about the structure of the moduli space using as concrete and elementary methods as possible. This simple approach leads to a rich theory and opens a new way of treating the moduli problem, putting new life into classical methods that were used in the study of moduli problems in the 1920s.

Thể loại:

Mathematics

Năm:

1992

Nhà xuát bản:

North Holland

Ngôn ngữ:

english

ISBN 10:

0444888462

ISBN 13:

9780444888464