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Some remarks on the universal cover of an open K3 surface

Fabrizio Catanese·JongHae Keum·Keiji Oguiso
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Abstract

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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Fabrizio Catanese, JongHae Keum, Keiji Oguiso. 2001-04-02. Some remarks on the universal cover of an open K3 surface. https://arxiv.org/abs/math/0104015

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