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.
| Author: Robert D. M. Accola |
| Publisher: Springer |
| Publication Date: Dec 16, 1994 |
| Number of Pages: 110 pages |
| Binding: Paperback or Softback |
| ISBN-10: 3540587217 |
| ISBN-13: 9783540587217 |