Browsing by Subject "K3 surfaces"

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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 algebraic K3 surfaces doubly cover an enriques surface: a computational approach
    (2019-02) Yörük, Oğuzhan
    The relationship between K3 Surfaces and Enriques Surfaces is known to mathematicians for the last 30 years. We examined this relationship from a lattice theoretical point of view by looking at transcendental lattice of a K3 surface in the case of Picard number 18 and 19. We established a better way of attacking this problem with the help of a computer assistance.
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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.