325 research outputs found

    On Kummer type construction of supersingular K3 surfaces in characteristic 2

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    We show that every supersingular K3 surface in characteristic 2 with Artin invariant less than or equal to 2 is obtained by the Kummer type construction of Schroeer.Comment: 18 pages, to appear in Pacific Journal of Mathematic

    Canonical coverings of Enriques surfaces in characteristic 22

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    Let Yˉ\bar{Y} be a normal surface that is the canonical μ2\mu_2- or α2\alpha_2-covering of a classical or supersingular Enriques surface in characteristic 22. We determine all possible configurations of singularities on Yˉ\bar{Y}, and for each configuration we describe which type of Enriques surfaces (classical or supersingular) appear as quotients of Yˉ\bar{Y}.Comment: comments welcome / v2 (22 pages) contains several new results: the case of elliptic double point singularity is taken into consideration, and the description of 1-dimensional family of Enriques quotients is adde
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