Lecture Notes in Mathematics

Topics in the Theory of Riemann Surfaces

Authors: Accola, Robert D.M.

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  • ISBN 978-3-540-49056-2
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About this book

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 (7 chapters)

  • Review of some basic concepts in the theory of Riemann surfaces

    Accola, Robert D. M.

    Pages 1-12

  • Some exceptional points on Riemann surfaces

    Accola, Robert D. M.

    Pages 13-19

  • The inequality of Castelnuovo-Severi

    Accola, Robert D. M.

    Pages 20-29

  • Smooth and branched coverings of Riemann surfaces

    Accola, Robert D. M.

    Pages 30-41

  • Automorphisms of Riemann surfaces, I

    Accola, Robert D. M.

    Pages 42-51

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-49056-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA
  • ISBN 978-3-540-58721-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Topics in the Theory of Riemann Surfaces
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1595
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-49056-2
DOI
10.1007/BFb0073575
Softcover ISBN
978-3-540-58721-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 110
Topics