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
Topics in the Theory of Riemann Surfaces
β Scribed by Robert D. M. Accola (auth.)
- Book ID
- 127398099
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 798 KB
- Edition
- 1
- Category
- Library
- City
- Berlin; New York
- ISBN
- 3540490566
No coin nor oath required. For personal study only.
β¦ 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.
β¦ Subjects
Group Theory and Generalizations
π SIMILAR VOLUMES
The book provides a self-contained introduction to classicalΒ Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historical remarks are also presented. The book will be directed to advanced undergraduate, beginning gradua