turkmath.org

In this talk, we discuss the problem of which K3 Surfaces with Picard number ρ(X)≤18 doubly cover Enriques surfaces and give the insight to the solution of the problem which is deeply related to lattice theory and integral quadratic forms. Then we give the generalization of Sertoz Theorem about the characterization of primitive embeddings of the lattices. Finally, we give our result on which indefinite even unimodular Z-lattices fail to be embedded into the sublattice Λ− of the K3-lattice Λ.