Lecture Notes in Mathematics

Symmetries of Compact Riemann Surfaces

Authors: Bujalance, E., Cirre, F.J., Gamboa, J.M., Gromadzki, G.

  • Deals with topics of increasing research interest   
  • Suitable for graduate level
  • Collects numerous results that are scattered across the literature  
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About this book

This monograph deals with symmetries of compact Riemann surfaces. A symmetry of a compact Riemann surface S is an antianalytic involution of S. It is well known that Riemann surfaces exhibiting symmetry correspond to algebraic curves which can be defined over the field of real numbers. In this monograph we consider three topics related to the topology of symmetries, namely the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.

Reviews

From the reviews:

“The monograph under review is primarily a survey of recent advances in the theory of symmetries of compact Riemann surfaces. It also provides a number of new interesting developments and different methods of proof for some of the recent and classical results in this area as well as a number of illustrative and detailed examples highlighting these results. With its informative and well-written introduction and a substantial preliminaries section, this monograph is ideal for both beginners to the area and current researchers.” (Aaron D. Wootton, Mathematical Reviews, Issue 2011 h)

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-642-14828-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-642-14827-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Symmetries of Compact Riemann Surfaces
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2007
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-14828-6
DOI
10.1007/978-3-642-14828-6
Softcover ISBN
978-3-642-14827-9
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XX, 164
Topics