Topics in the Theory of Riemann Surfaces

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.

List of contents

Review of some basic concepts in the theory of Riemann surfaces.- Some exceptional points on Riemann surfaces.- The inequality of Castelnuovo-Severi.- Smooth and branched coverings of Riemann surfaces.- Automorphisms of Riemann surfaces, I.- When are fixed points of automorphisms exceptional in some other sense?.- Automorphisms of Riemann surfaces, II; N(p).

Product details

• Authors: Robert D M Accola, Robert D. M. Accola, Robert D.M. Accola
• Publisher: Springer, Berlin
• Languages: English, German
• Product format: Paperback / Softback
• Released: 01.01.1994
• EAN: 9783540587217
• ISBN: 978-3-540-58721-7
• No. of pages: 120
• Dimensions: 155 mm x 235 mm x 6 mm
• Weight: 193 g
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics, Volume 1595; Lecture Notes in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra