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Topics in the Theory of Riemann Surfaces

  • Book
  • © 1994

Overview

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

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-IX
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  2. Review of some basic concepts in the theory of Riemann surfaces

    • Robert D. M. Accola
    Pages 1-12

  3. Some exceptional points on Riemann surfaces

    • Robert D. M. Accola
    Pages 13-19

  4. The inequality of Castelnuovo-Severi

    • Robert D. M. Accola
    Pages 20-29

  5. Smooth and branched coverings of Riemann surfaces

    • Robert D. M. Accola
    Pages 30-41

  6. Automorphisms of Riemann surfaces, I

    • Robert D. M. Accola
    Pages 42-51

  7. When are fixed points of automorphisms exceptional in some other sense?

    • Robert D. M. Accola
    Pages 52-73

  8. Automorphisms of Riemann surfaces, II; N(p)

    • Robert D. M. Accola
    Pages 74-98

  9. Back Matter

    Pages 99-109
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Keywords

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.

Bibliographic Information

  • Book Title: Topics in the Theory of Riemann Surfaces

  • Authors: Robert D. M. Accola

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0073575

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • Softcover ISBN: 978-3-540-58721-7Published: 16 December 1994

  • eBook ISBN: 978-3-540-49056-2Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 110

  • Topics: Algebraic Geometry, Group Theory and Generalizations

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