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Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces

Published online by Cambridge University Press:  22 January 2016

Ichiro Shimada  and
De-Qi Zhang
Ichiro Shimada
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo, 060-0810, Japan, [email protected]
De-Qi Zhang
Affiliation:
Department of Mathematics, National University of Singapore, Lower KentRidge Road, 119260, Singapore, [email protected]
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Abstract

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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).

Keywords

14J28
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 161 , March 2001 , pp. 23 - 54
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2001

References

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