Abstract
By a K3-surface with nine cusps I mean a surface with nine isolated double points A2, 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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