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portada Topics in the Theory of Riemann Surfaces (Lecture Notes in Mathematics)
Type
Physical Book
Publisher
Year
1994
Language
English
Pages
110
Format
Paperback
ISBN
3540587217
ISBN13
9783540587217
Edition No.
1994
Categories

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

Robert D.m. Accola (Author) · Springer · Paperback

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

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Synopsis "Topics in the Theory of Riemann Surfaces (Lecture Notes in Mathematics)"

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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