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

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dc.creatorShimada, I.
dc.creatorZhang, D. -Q.
dc.date2000-07-27
dc.date.accessioned2026-07-07T04:36:33Z
dc.date.available2026-07-07T04:36:33Z
dc.descriptionWe 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.
dc.description25 pages, Nagoya Math. J. to appear
dc.identifierhttps://arxiv.org/abs/math/0007171
dc.identifierhttp://arxiv.org/abs/math/0007171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59634
dc.subjectAlgebraic Geometry
dc.subject14J28; 14E20
dc.titleClassification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces
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