Topics in the Theory of Riemann Surfaces

  • Authors
  • Robert D. M. Accola
Part of the Lecture Notes in Mathematics book series (LNM, volume 1595)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Robert D. M. Accola
    Pages 13-19
  3. Robert D. M. Accola
    Pages 20-29
  4. Robert D. M. Accola
    Pages 30-41
  5. Robert D. M. Accola
    Pages 42-51
  6. Robert D. M. Accola
    Pages 74-98
  7. Back Matter
    Pages 99-109

About this book

Introduction

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.

Keywords

Riemann surface algebra algebraic curve automorphism

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0073575
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-58721-7
  • Online ISBN 978-3-540-49056-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692