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An isogeny of K3 surfaces

Bert van Geemen·Jaap Top
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Abstract

In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain one parameter family in terms of those of a particular family of elliptic curves. The Tate conjecture predicts the existence of a correspondence between these K3 surfaces and certain Kummer surfaces related to these elliptic curves. A geometric construction of this correspondence is given here, using results of D. Morrison on Nikulin involutions.

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Bert van Geemen, Jaap Top. 2003-09-17. An isogeny of K3 surfaces. https://arxiv.org/abs/math/0309272

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