Some remarks on the universal cover of an open K3 surface

Details Some remarks on the universal cover of an open K3 surface Some remarks on the universal cover of an open K3 surface

2001-04-02

arxiv.org/abs/math/0104015v1

Mathematics

Algebraic Geometry

AMS TeX

Scientific paper

We shall give, in an optimal form, a sufficient numerical condition for the
finiteness of the fundamental group of the smooth locus of a normal K3 surface.
We shall moreover prove that, if the normal K3 surface is elliptic and the
above fundamental group is not finite, then there is a finite covering which is
a complex torus.

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