Topics in the Theory of Riemann Surfaces: 1595 - Brossura

Accola, Robert D.M.

 
9783540587217: Topics in the Theory of Riemann Surfaces: 1595

Sinossi

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.

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Contenuti

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).

Product Description

Book by Accola Robert DM

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9780387587219: Topics in the theory of Riemann surfaces (Lecture notes in mathematics)

Edizione in evidenza

ISBN 10:  0387587217 ISBN 13:  9780387587219
Casa editrice: Springer-Verlag, 1994
Rilegato