Topics in the theory of Riemann surfaces

書誌事項

Topics in the theory of Riemann surfaces

Robert D.M. Accola

(Lecture notes in mathematics, 1595)

Springer-Verlag, c1994

  • : gw
  • : us

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注記

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

内容説明・目次

内容説明

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.

目次

  • 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).

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詳細情報

  • NII書誌ID(NCID)
    BA23920249
  • ISBN
    • 3540587217
    • 0387587217
  • LCCN
    94041550
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; New York
  • ページ数/冊数
    ix, 105 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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