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Abelian Coverings of the Complex Projective Plane Branched along Configurations of Real Lines
 
Abelian Coverings of the Complex Projective Plane Branched along Configurations of Real Lines
eBook ISBN:  978-1-4704-0079-8
Product Code:  MEMO/105/502.E
List Price: $34.00
MAA Member Price: $30.60
AMS Member Price: $20.40
Abelian Coverings of the Complex Projective Plane Branched along Configurations of Real Lines
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Abelian Coverings of the Complex Projective Plane Branched along Configurations of Real Lines
eBook ISBN:  978-1-4704-0079-8
Product Code:  MEMO/105/502.E
List Price: $34.00
MAA Member Price: $30.60
AMS Member Price: $20.40
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1051993; 85 pp
    MSC: Primary 14

    This work studies abelian branched coverings of smooth complex projective surfaces from the topological viewpoint. Geometric information about the coverings (such as the first Betti numbers of a smooth model or intersections of embedded curves) is related to topological and combinatorial information about the base space and branch locus. Special attention is given to examples in which the base space is the complex projective plane and the branch locus is a configuration of lines.

    Readership

    Graduate students and researchers.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • I. Preliminaries
    • II. Intersections of curves on covering surfaces
    • III. Hirzebruch covering surfaces
    • IV. Algorithm for computing the first Betti number
    • V. Examples
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1051993; 85 pp
MSC: Primary 14

This work studies abelian branched coverings of smooth complex projective surfaces from the topological viewpoint. Geometric information about the coverings (such as the first Betti numbers of a smooth model or intersections of embedded curves) is related to topological and combinatorial information about the base space and branch locus. Special attention is given to examples in which the base space is the complex projective plane and the branch locus is a configuration of lines.

Readership

Graduate students and researchers.

  • Chapters
  • Introduction
  • I. Preliminaries
  • II. Intersections of curves on covering surfaces
  • III. Hirzebruch covering surfaces
  • IV. Algorithm for computing the first Betti number
  • V. Examples
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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