[Lecture Notes in Mathematics] Topics in the Theory of Riemann Surfaces Volume 1595 || When are fixed points of automorphisms exceptional in some other sense?
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- Book ID
- 121375250
- Publisher
- Springer Berlin Heidelberg
- Year
- 1994
- Tongue
- German
- Weight
- 687 KB
- Edition
- 1994
- Category
- Article
- ISBN
- 3540587217
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✦ Synopsis
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.