Abelian coverings of the complex projective plane branched along configurations of real lines

Bibliographic Information

Abelian coverings of the complex projective plane branched along configurations of real lines

Eriko Hironaka

(Memoirs of the American Mathematical Society, no. 502)

American Mathematical Society, 1993

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Note

"September 1993, volume 105, number 502 (third of 6 numbers)"--T.p

Includes bibliographical references (p. 83-85)

Description and Table of Contents

Description

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.

Table of Contents

Introduction Preliminaries Intersections of curves on covering surfaces Hirzebruch covering surfaces Algorithm for computing the first Betti number Examples References.

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