Correspondences between K3 surfaces

Federica Galluzzi; Giuseppe Lombardo

paper

Correspondences between K3 surfaces

arXiv:math/0211129

Abstract

In this paper we show that there is a correspondence between some $K 3$ surfaces with non-isometric transcendental lattices constructed as a twist of the transcendental lattice of the Jacobian of a generic genus 2 curve. Moreover, we show the existence of a correspondence between a general $K 3$ surface with $ρ = 17$ and a Kummer surface having transcendental lattices $\QQ$-Hodge isomorphic.

With an appendix by Igor Dolgachev. To appear on the Michigan Mathematical Journal. 19 pages, LaTex with xy-pic,1 figure