Browsing by Subject "Integral lattices"

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    Irreducible Heegner divisors in the period space of Enriques surfaces
    (World Scientific Publishing Co. Pte. Ltd., 2008) Koca, C.; Sertöz, A. S.
    Reflection walls of certain primitive vectors in the anti-invariant sublattice of the K3 lattice define Heegner divisors in the period space of Enriques surfaces. We show that depending on the norm of these primitive vectors, these Heegner divisors are either irreducible or have two irreducible components. The two components are obtained as the walls orthogonal to primitive vectors of the same norm but of different type as ordinary or characteristic. © 2008 World Scientific Publishing Company.
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    Which singular K3 surfaces cover an Enriques surface
    (American Mathematical Society, 2005) Sertöz, A. S.
    We determine the necessary and sufficient conditions on the entries of the intersection matrix of the transcendental lattice of a singular K3 surface for the surface to doubly cover an Enriques surface.