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Topics in the Theory of Riemann Surfaces

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Topics in the Theory of Riemann Surfaces Synopsis

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.

About This Edition

ISBN: 9783540587217
Publication date:
Author: Robert DM Accola
Publisher: Springer an imprint of Springer Berlin Heidelberg
Format: Paperback
Pagination: 110 pages
Series: Lecture Notes in Mathematics
Genres: Algebraic geometry
Groups and group theory