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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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Ichiro Shimada. De-Qi Zhang. "Classification of extremal elliptic {$K3$} surfaces and fundamental groups of open {$K3$} surfaces." Nagoya Math. J. 161 23 - 54, 2001.

Information

Published: 2001
First available in Project Euclid: 27 April 2005

zbMATH: 1064.14503
MathSciNet: MR1820211

Subjects:
Primary: 14J27
Secondary: 14J28

Rights: Copyright © 2001 Editorial Board, Nagoya Mathematical Journal

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Vol.161 • 2001
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