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

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We present a complete list of extremal elliptic K3 surfaces. There are altogether 325 of them. The first 112 coincides with Miranda-Persson's list for semi-stable ones. The data include the transcendental lattice which determines uniquely the K3 surface by a result of Shioda and Inose, the singular fibre type and the Mordell Weil group. 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.
25 pages, Nagoya Math. J. to appear

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Algebraic Geometry, 14J28; 14E20

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http://salesiana.dossiersoluciones.com/handle/123456789/59634

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0007171
 http://arxiv.org/abs/math/0007171

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arXiv