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Pseudo vector bundles and quasifibrations

Martin A. Guest·Michal Kwiecinski·Boon-Wee Ong
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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.

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Martin A. Guest, Michal Kwiecinski, Boon-Wee Ong. 1998-07-20. Pseudo vector bundles and quasifibrations. https://arxiv.org/abs/math/9807103

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