Correspondences between K3 surfaces
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In this paper we show that there is a correspondence between some $K3$ 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 $K3$ 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
With an appendix by Igor Dolgachev. To appear on the Michigan Mathematical Journal. 19 pages, LaTex with xy-pic,1 figure