Finite sets in fibres of holomorphic maps

Details Finite sets in fibres of holomorphic maps Finite sets in fibres of holomorphic maps

1996-06-10

arxiv.org/abs/alg-geom/9606008v1

Mathematics

Algebraic Geometry

LaTeX v. 2.09, 16 pages

Scientific paper

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.

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