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.
ISBN: | 9783540587217 |
Publication date: | 16th December 1994 |
Author: | Robert DM Accola |
Publisher: | Springer an imprint of Springer Berlin Heidelberg |
Format: | Paperback |
Pagination: | 110 pages |
Series: | Lecture Notes in Mathematics |
Genres: |
Algebraic geometry Groups and group theory |