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AN ISOGENY OF K3 SURFACES

Published online by Cambridge University Press:  16 March 2006

BERT VAN GEEMEN  and
JAAP TOP
BERT VAN GEEMEN
Affiliation:
Dipartimento di Matematica, Università di Milano, via Saldini 50, I-20133 Milano, Italygeemen@mat.unimi.it
JAAP TOP
Affiliation:
IWI, Rijksuniversiteit Groningen, P.O. Box 800, 9700 AV Groningen, the Netherlandstop@math.rug.nl
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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.

Keywords

14J2714G2514J28
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 2 , April 2006 , pp. 209 - 223
Copyright
The London Mathematical Society 2006

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