Topics in the theory of Rieman surfaces. Lecture notes in mathematics ; 1595

Accola, Robert D. M.,

ISBN 10: 3540587217 / ISBN 13: 9783540587217

Published by Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer, 1994

About this Item

IX, 105 pages Ex-Library book in very good condition. 9783540587217 Sprache: Englisch Gewicht in Gramm: 330.

Seller Inventory # 1166260

Bibliographic Details

• Title: Topics in the theory of Rieman surfaces. Lecture notes in mathematics ; 1595
• Publisher: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer
• Publication Date: 1994
• Language: English
• ISBN 10: 3540587217
• ISBN 13: 9783540587217
• Binding: Soft cover
• Seller catalogs:
  • SA MATHEMATIK

About this title

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

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.