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The Picard group of a quasi-bundle

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Abstract

Quasi-bundles are morphisms from an algebraic surface onto a curve having all smooth fibres connected and pairwise isomorphic, and whose only singular fibres are multiplies of smooth curves. LetF denote de general fiber of a quasi-bundle map defined on a surfaceS. This paper focuses on the relationship between the divisibility properties ofF inH 2 (S, ℤ)/(torsion) and the torsion ofH 2 (S, ℤ).

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  1. Dept. Àlgebra i Geometria, Universitat de Barcelona, Gran Via 585, 08007, Barcelona, (Spain)

    Fernando Serrano

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  1. Fernando Serrano
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Serrano, F. The Picard group of a quasi-bundle. Manuscripta Math 73, 63–82 (1991). https://doi.org/10.1007/BF02567629

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  • DOI: https://doi.org/10.1007/BF02567629

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