An isogeny of K3 surfaces

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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.
14 pages, LaTeX

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Algebraic Geometry, Number Theory, 14J28; 11G35

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http://salesiana.dossiersoluciones.com/handle/123456789/68587

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309272
 http://arxiv.org/abs/math/0309272

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arXiv