Some remarks on the universal cover of an open K3 surface

Catanese, Fabrizio; Keum, JongHae; Oguiso, Keiji

Some remarks on the universal cover of an open K3 surface

Authors

Catanese, Fabrizio

Keum, JongHae

Oguiso, Keiji

Description

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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