Classification of Extremal Elliptic K3 Surfaces and Fundamental Groups of Open K3 Surfaces

Abstract

We present a complete list of extremal elliptic K3 surfaces (Theorem 1.1). As an application, we give a sufficient condition for the topological fundamental group of complement to an ADE-configuration of smooth rational curves on a K3 surface to be trivial (Proposition 4.1 and Theorem 4.3).

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Cite this paper

@inproceedings{Shimada2005ClassificationOE, title={Classification of Extremal Elliptic K3 Surfaces and Fundamental Groups of Open K3 Surfaces}, author={Ichiro Shimada}, year={2005} }