arXiv subjects

Michal Kwiecinski

Publications and source records attributed to Michal Kwiecinski.

2 recordsLinked to original sources

arXiv1998

Pseudo vector bundles and quasifibrations

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.

math.AG↗

arXiv1996

Finite sets in fibres of holomorphic maps

We consider the maximal number of arbitrary points in a special fibre that can be simultaneously approached by points in one sequence of general fibres. Several results about this topological invariant and their applications describe the structure of holomorphic maps. In particular, we get a lower bound on the number of points in the general fibre of a generically finite map.

alg-geom↗