Topics in the Theory of Riemann Surfaces

Robert D.M. Accola (Autor)

Buch | Softcover

X, 110 Seiten

1994
Springer Berlin (Verlag)
978-3-540-58721-7 (ISBN)

Infos

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.

Inhalt

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).

Produkt-Details

• 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