Topics in the Theory of Riemann Surfaces / Edition 1

by Robert D.M. Accola

Overview

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.

Product Details

ISBN-13:	9783540587217
Publisher:	Springer Berlin Heidelberg
Publication date:	12/27/1994
Series:	Lecture Notes in Mathematics , #1595
Edition description:	1994
Pages:	110
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table 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).