Open Access
2001 Classification of extremal elliptic {$K3$} surfaces and fundamental groups of open {$K3$} surfaces
Ichiro Shimada, De-Qi Zhang
Nagoya Math. J. 161: 23-54 (2001).
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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Copyright © 2001 Editorial Board, Nagoya Mathematical Journal
Ichiro Shimada and De-Qi Zhang "Classification of extremal elliptic {$K3$} surfaces and fundamental groups of open {$K3$} surfaces," Nagoya Mathematical Journal 161(none), 23-54, (2001). https://doi.org/
Published: 2001
Vol.161 • 2001
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