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Abelian Coverings of the Complex Projective Plane Branched along Configurations of Real Lines

Available Formats:
Electronic 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 Click above image for expanded view Abelian Coverings of the Complex Projective Plane Branched along Configurations of Real Lines Available Formats:  Electronic 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.

• 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
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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.