TY  - BOOK
AU  - Sepp�al�a,Mika
AU  - Sorvali,Tuomas
TI  - Geometry of Riemann surfaces and Teichm�uller spaces
T2  - North-Holland mathematics studies
SN  - 9780444888464
AV  - QA333 .S42 1992eb
U1  - 515/.223 22
PY  - 1992///
CY  - Amsterdam, New York, New York, N.Y., U.S.A.
PB  - North-Holland, Distributors for the United States and Canada, Elsevier Science Pub. Co.
KW  - Riemann surfaces
KW  - Teichm�uller spaces
KW  - Riemann, surfaces de
KW  - ram
KW  - Teichm�uller, espaces de
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references (p. 249-257) and index
N2  - 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
UR  - http://www.sciencedirect.com/science/book/9780444888464
UR  - http://www.sciencedirect.com/science/publication?issn=03040208&volume=169
ER  -