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arxiv: math/0106133 · v1 · submitted 2001-06-15 · 🧮 math.AG

Semistable K3-surfaces with icosahedral symmetry

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keywords k3-surfacesicosahedralsymmetrytriangulationactingassociatedcentraldegeneration
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In a Type III degeneration of K3-surfaces the dual graph of the central fibre is a triangulation of the 2-sphere. We realise the tetrahedral, octahedral and especially the icosahedral triangulation in families of K3-surfaces, preferably with the associated symmetry groups acting.

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