Topics in the Theory of Riemann Surfaces: 1595 (Lecture Notes in Mathematics, 1595) - Softcover

Accola, Robert D.M.

 
9783540587217: Topics in the Theory of Riemann Surfaces: 1595 (Lecture Notes in Mathematics, 1595)

Synopsis

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.

"synopsis" may belong to another edition of this title.

Synopsis

Focusing on the automorphisms of Riemann surfaces, this monograph gives a foundational treatment from the point of view of Galois coverings, and treats 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. The text is accessible to a reader who has had an introductory course on the theory of Riemann surfaces or algebraic curves.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

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

Featured Edition

ISBN 10:  0387587217 ISBN 13:  9780387587219
Publisher: Springer-Verlag, 1994
Hardcover