Topics in the Theory of Riemann Surfaces
(Sprache: Englisch)
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...
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Klappentext zu „Topics in the Theory of Riemann Surfaces “
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.
Inhaltsverzeichnis zu „Topics in the Theory of Riemann Surfaces “
Review of some basic concepts in the theory of Riemann surfaces.- Some exceptional points on Riemann surfaces.- The inequality of Castelnuovo-Severi.- Smooth and branched coverings of Riemann surfaces.- Automorphisms of Riemann surfaces, I.- When are fixed points of automorphisms exceptional in some other sense?.- Automorphisms of Riemann surfaces, II; N(p).
Bibliographische Angaben
- Autor: Robert D. M. Accola
- 1994, 120 Seiten, Maße: 15,5 x 23,5 cm, Taschenbuch, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540587217
- ISBN-13: 9783540587217
- Erscheinungsdatum: 16.12.1994
Sprache:
Englisch
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