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 |
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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 105; 1993; 85 ppMSC: 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.
ReadershipGraduate students and researchers.
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Table of Contents
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Chapters
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Introduction
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I. Preliminaries
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II. Intersections of curves on covering surfaces
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III. Hirzebruch covering surfaces
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IV. Algorithm for computing the first Betti number
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V. Examples
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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.
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