Topics in the theory of Riemann surfaces

Author(s)

• Accola, Robert D. M.

Bibliographic Information

Topics in the theory of Riemann surfaces

Robert D.M. Accola

（Lecture notes in mathematics, 1595）

Springer-Verlag, c1994

• : gw
• : us

Note

Includes bibliographical references (p. [99]-101) and index

Description and Table of Contents

Description

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.

Table of Contents

• 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).

by "Nielsen BookData"

Details

• NCID: BA23920249
• ISBN:
  • 3540587217
  • 0387587217
• LCCN: 94041550
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: ix, 105 p.
• Size: 24 cm
• Classification:
  • NDC8 : 413.5
  • LCC : QA3
  • LCC : QA333
  • DC20 : 510 s
  • DC20 : 515/.223
  • NDC8 : 410.8
• Subject Headings:
  • LCSH : Riemann surfaces
• Parent Bibliography ID:
  • BA00146586