AN ISOGENY OF K3 SURFACES
Copyright policy )AN ISOGENY OF K3 SURFACES
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
- University of Milan Italy
- University of Groningen Netherlands
Mathematics - Algebraic Geometry, Mathematics - Number Theory, K3 surface, automorphisms, K-3 SURFACES, 14J28; 11G35, FOS: Mathematics, 11G35, Number Theory (math.NT), 14J28, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, Mathematics - Number Theory, K3 surface, automorphisms, K-3 SURFACES, 14J28; 11G35, FOS: Mathematics, 11G35, Number Theory (math.NT), 14J28, Algebraic Geometry (math.AG)
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