Pseudo vector bundles and quasifibrations
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/9807103,
title = {Pseudo vector bundles and quasifibrations},
author = {Martin A. Guest and Michal Kwiecinski and Boon-Wee Ong},
journal= {arXiv preprint arXiv:math/9807103},
year = {2007}
}
Comments
10 pages, AMS-LaTeX