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Topics in the Theory of Riemann Surfaces : Lecture Notes in Mathematics - Robert D.M. Accola

Topics in the Theory of Riemann Surfaces

Lecture Notes in Mathematics

Paperback Published: 16th December 1994
ISBN: 9783540587217
Number Of Pages: 110

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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.

Review of basic conceptsp. 1
Some exceptional points on Riemann surfacesp. 13
The inequality of Castelnuovo-Severip. 20
Smooth and branched coverings of Riemann surfacesp. 30
Automorphisms of Riemann surfaces, Ip. 42
When are fixed points of automorphisms exceptional in some other sense?p. 52
Automorphisms of Riemann surfaces, II; N(p)p. 74
Referencesp. 99
Indexp. 102
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540587217
ISBN-10: 3540587217
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 110
Published: 16th December 1994
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.64
Weight (kg): 0.18