Xi Chen, James D. Lewis
Published 2010-04-29, updated 2012-06-01Version 3
We proved that the union of rational curves is dense on a very general K3 surface and the union of elliptic curves is dense in the 1st jet space of a very general K3 surface, both in the strong topology.
Comments: 23 pages. To appear in Mathematische Annalen
The Brauer group of Kummer surfaces and torsion of elliptic curves
Elliptic K3 surfaces associated with the product of two elliptic curves: Mordell-Weil lattices and their fields of definition
Mordell-Weil lattice of Inose's Elliptic $K3$ surface arising from the product of 3-isogenous elliptic curves
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