Screen LibraryGeometry of Riemann surfaces and Teichmu ller spaces /
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...
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| Published: |
North-Holland ; Distributors for the United States and Canada, Elsevier Science Pub. Co.,
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| Publisher Address: | Amsterdam ; New York : New York, N.Y., U.S.A. : |
| Publication Dates: | 1992. |
| Literature type: | eBook |
| Language: | English |
| Series: |
North-Holland mathematics studies ;
169 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/03040208/169 |
| Summary: |
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. |
| Carrier Form: | 1 online resource (263 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 249-257) and index. |
| ISBN: |
9780444888464 0444888462 9780080872803 0080872808 |
| Index Number: | QA333 |
| CLC: | O174.51 |