E-Book, Englisch, Band 1595, 110 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Accola Topics in the Theory of Riemann Surfaces
Erscheinungsjahr 2006
ISBN: 978-3-540-49056-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1595, 110 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-49056-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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).
