Topics in the Theory of Riemann Surfaces (Lecture Notes in Mathematics, 1595)

Accola, Robert D.M.

ISBN 10: 3540587217 / ISBN 13: 9783540587217

Published by Springer, 1994

About this Item

Seller Inventory # E-9783540587217-2-2

Bibliographic Details

• Title: Topics in the Theory of Riemann Surfaces (Lecture Notes in Mathematics, 1595)
• Publisher: Springer
• Publication Date: 1994
• Language: English
• ISBN 10: 3540587217
• ISBN 13: 9783540587217
• Binding: Soft cover
• Condition: Very good

About this title

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.