Pseudo vector bundles and quasifibrations

1998/07/20 by Martin A. Guest, Guest, Martin A., Michal Kwiecinski +4
Mathematics · #14E40 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14E40

paper · pdf · doi:10.48550/arxiv.math/9807103

10 pages, AMS-LaTeX

arxiv created 1998/07/20 · openalex publication_date 1998/07/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a topological result concerning the kernel of a morphism d : E --> F of holomorphic vector bundles over a complex analytic space. As a consequence, we show that the projectivization P(ker d) is a quasifibration up to some dimension. We give an application to the Abel-Jacobi map of a Riemann surface, and to the space of rational curves in the symmetric product of a Riemann surface.

Citations

• On the quantum cohomology of a symmetric product of an algebraic curve

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