UID:
almahu_9947921568602882
Format:
X, 110 p.
,
online resource.
ISBN:
9783540490562
Series Statement:
Lecture Notes in Mathematics, 1595
Content:
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.
Note:
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).
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540587217
Language:
English
Subjects:
Mathematics
URL:
http://dx.doi.org/10.1007/BFb0073575
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(Deutschlandweit zugänglich)
