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Topics in the theory of Riemann surfaces / Robert D.M. Accola.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1595.Publication details: Berlin ; New York : Springer-Verlag, ©1994.Description: 1 online resource (ix, 105 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540490562
  • 3540490566
Subject(s): Additional physical formats: Print version:: Topics in the theory of Riemann surfaces.DDC classification:
  • 510 s 515/.223 20
LOC classification:
  • QA3 .L28 no. 1595 QA333
Other classification:
  • 31.52
  • PC 17
  • *30-01
  • 14H15
  • 30F10
Online resources:
Contents:
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).
Action note:
  • digitized 2010 HathiTrust Digital Library committed to preserve
Summary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references (pages 99-101) and index.

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.

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Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

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Print version record.

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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