• EPW Cubes 

      Iliev, Atanas; Kapustka, Grzegorz; Kapustka, Michal; Ranestad, Kristian (Journal article; Peer reviewed, 2016-08)
      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; Peer reviewed, 2017-09)
      We show that a Hilbert scheme of conics on a Fano fourfold double cover of PP2xP2 ramified along a divisor of bidegree (2,2) admits a ℙ 1‐fibration with base being a hyper‐Kähler fourfold. We investigate the geometry of ...
    • Hyperkähler fourfolds and Kummer surfaces 

      Ranestad, Kristian; Iliev, Atanas; Kapustka, Grzegorz; Kapustka, Michal Jakub (Journal article; Peer reviewed, 2017-09)