Browsing Matematisk institutt by Author "Kapustka, Grzegorz"

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  • EPW Cubes 
    Iliev, Atanas; Kapustka, Grzegorz; Kapustka, Michal; Ranestad, Kristian (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2016)
    We construct a new 20-dimensional family of projective six-dimensional irreducible holomorphic symplectic manifolds. The elements of this family are deformation equivalent with the Hilbert scheme of three points on a K3 ...
  • Hyper-Kähler fourfolds and Kummer surfaces 
    Ranestad, Kristian; Kapustka, Michal; Kapustka, Grzegorz; Iliev, Atanas (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)
    We show that a Hilbert scheme of conics on a Fano fourfold double cover of P2×P2 ramified along a divisor of bidegree (2,2) admits a P1-fibration with base being a hyper-Kähler fourfold. We investigate the geometry of such ...