Some remarks on the universal cover of an open K3 surface

2001/04/02 by Fabrizio Catanese, Catanese, Fabrizio, JongHae Keum +3
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0104015

AMS TeX

arxiv created 2001/04/02 · arxiv updated 2009/11/30

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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