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arXiv · alg-geom/9709031

K3 Surfaces with Nine Cusps

W. Barth
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Abstract

By a K3-surface with nine cusps I mean a surface with nine isolated double points A_2, but otherwise smooth, such that its minimal desingularisation is a K3-surface. It is shown, that such a surface admits a cyclic triple cover branched precisely over the cusps. This parallels the theorem of Nikulin, that a K3-surface with 16 nodes is a Kummer quotient of a complex torus.

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W. Barth. 1997-09-29. K3 Surfaces with Nine Cusps. https://arxiv.org/abs/alg-geom/9709031

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