Topics in the Theory of Riemann Surfaces

Topics in the Theory of Riemann Surfaces
Author :
Publisher : Springer
Total Pages : 117
Release :
ISBN-10 : 9783540490562
ISBN-13 : 3540490566
Rating : 4/5 (566 Downloads)

Book Synopsis Topics in the Theory of Riemann Surfaces by : Robert D.M. Accola

Download or read book Topics in the Theory of Riemann Surfaces written by Robert D.M. Accola and published by Springer. This book was released on 2006-11-14 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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