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Topics in the Theory of Riemann Surfaces

Topics in the Theory of Riemann Surfaces

Paperback

Series: Lecture Notes in Mathematics, Book 1595

AlgebraCalculusGeometry

ISBN10: 3540587217
ISBN13: 9783540587217
Publisher: Springer Nature
Published: Dec 16 1994
Pages: 110
Weight: 0.39
Height: 0.25 Width: 6.14 Depth: 9.21
Language: English
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.

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