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.

Keywords

Bibliographic Information

Book Title: Topics in the Theory of Riemann Surfaces
Authors: Robert D. M. Accola
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0073575
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1994
Softcover ISBN: 978-3-540-58721-7Published: 16 December 1994
eBook ISBN: 978-3-540-49056-2Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 110
Topics: Algebraic Geometry, Group Theory and Generalizations

Publish with us

Policies and ethics

Authors:

Sections

Buy it now

Buying options

Other ways to access

Table of contents (7 chapters)

Front Matter

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)

Back Matter

About this book