Pseudo vector bundles and quasifibrations

Guest, Martin A.; Kwiecinski, Michal; Ong, Boon-Wee

Pseudo vector bundles and quasifibrations

Authors

Guest, Martin A.

Kwiecinski, Michal

Ong, Boon-Wee

Description

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.
10 pages, AMS-LaTeX