Blar i UiS Brage på forfatter "Kapustka, Michal"
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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 ... -
Equivalences between Calabi–Yau manifolds and roofs of projective bundles
Rampazzo, Marco (PhD thesis UiS;, Doctoral thesis, 2021-04)It is conjectured that many birational transformations, called K-inequalities, have a categorical counterpart in terms of an embedding of derived categories. In the special case of simple K-equivalence (or more generally ... -
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 ...