Density of Rational Curves on K3 Surfaces
نویسندگان
چکیده
Using the dynamics of self rational maps of elliptic K3 surfaces together with deformation theory, we prove that the union of rational curves is dense on a very general K3 surface and that the union of elliptic curves is dense in the 1st jet space of a very general K3 surface, both in the strong topology. The techniques developed here also lend themselves to applications to Abel-Jacobi images, and we explore some consequences in the Appendix.
منابع مشابه
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