Topics in the theory of Riemann surfaces
Author(s)
Bibliographic Information
Topics in the theory of Riemann surfaces
（Lecture notes in mathematics, 1595）
Springer-Verlag, c1994
- : gw
- : us
Available at / 89 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: gwL/N||LNM||1595RM950228
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Etchujima library, Tokyo University of Marine Science and Technology自然
: gw410.8||L1||1595180367
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: gwdc20:515/ac272070326538
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Note
Includes bibliographical references (p. [99]-101) and index
Description and Table of Contents
Description
The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus. In addition, the extent to which fixed points of automorphisms are generalized Weierstrass points is considered. The extremely useful inequality of Castelnuovo- Severi is also treated. While the methods are elementary, much of the material does not appear in the current texts on Riemann surfaces, algebraic curves. The book is accessible to a reader who has had an introductory course on the theory of Riemann surfaces or algebraic curves.
Table of Contents
- Review of some basic concepts in the theory of Riemann surfaces.- Some exceptional points on Riemann surfaces.- The inequality of Castelnuovo-Severi.- Smooth and branched coverings of Riemann surfaces.- Automorphisms of Riemann surfaces, I.- When are fixed points of automorphisms exceptional in some other sense?.- Automorphisms of Riemann surfaces, II
- N(p).
by "Nielsen BookData"
