An Isogeny of K3 Surfaces |
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| Authors: | Geemen Bert Van; Top Jaap |
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| Institution: | Dipartimento di Matematica, Università di Milano via Saldini 50, I-20133 Milano, Italy geemen{at}mat.unimi.it
IWI, Rijksuniversiteit Groningen P.O. Box 800, 9700 AV Groningen, the Netherlands top{at}math.rug.nl |
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| Abstract: | In a recent paper Ahlgren, Ono and Penniston described the L-seriesof K3 surfaces from a certain one-parameter family in termsof those of a particular family of elliptic curves. The Tateconjecture predicts the existence of a correspondence betweenthese K3 surfaces and certain Kummer surfaces related to theseelliptic curves. A geometric construction of this correspondenceis given here, using results of D. Morrison on Nikulin involutions.2000 Mathematics Subject Classification 14J27, 14G25, 14J28. |
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