Topics in the Theory of Riemann Surfaces
Seiten
1994
|
1994
Springer Berlin (Verlag)
978-3-540-58721-7 (ISBN)
Springer Berlin (Verlag)
978-3-540-58721-7 (ISBN)
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.
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).
| Erscheint lt. Verlag | 16.12.1994 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | X, 110 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 193 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Schlagworte | Algebra • Algebraic Curve • automorphism • Riemann surface |
| ISBN-10 | 3-540-58721-7 / 3540587217 |
| ISBN-13 | 978-3-540-58721-7 / 9783540587217 |
| Zustand | Neuware |
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