Overview
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