An isogeny of K3 surfaces
Algebraic Geometry
2007-05-23 v1 Number Theory
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
Cite
@article{arxiv.math/0309272,
title = {An isogeny of K3 surfaces},
author = {Bert van Geemen and Jaap Top},
journal= {arXiv preprint arXiv:math/0309272},
year = {2007}
}
Comments
14 pages, LaTeX