Abelian coverings of the complex projective plane branched along configurations of real lines
About this Title
Publication: Memoirs of the American Mathematical Society
Publication Year 1993: Volume 105, Number 502
ISBNs: 978-0-8218-2564-8 (print); 978-1-4704-0079-8 (online)
MathSciNet review: 1164128
MSC (1991): Primary 14H30; Secondary 14J25
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.
Table of Contents
- I. Preliminaries
- II. Intersections of curves on covering surfaces
- III. Hirzebruch covering surfaces
- IV. Algorithm for computing the first Betti number
- V. Examples