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    Talks and Seminars

    SAG: Coble type hypersurfaces and hyperkähler fourfoldsSeminar Algebraic Geometry (SAG)

    by Jieao Song (MPI)

    → Europe/Berlin
    MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

    MPIM, Vivatsgasse, 7 - Lecture Hall

    Max Planck Institute for Mathematics

    120
    Description

    If a hypersurface in a projective space is singular exactly along a variety X, we call it a Coble type hypersurface for X. Hyperkähler manifolds are natural generalizations of K3 surfaces in higher dimensions, and geometric descriptions for locally complete families are only known in very few cases. In this talk, we present two new examples of K3^[2]-type, in terms of Coble type hypersurfaces. Based on joint work with Benedetta Piroddi, Ángel Ríos Ortiz, and Andrés Rojas.