# Kristian Ranestad: EPW cubes

Kristian Ranestad, UiO, gives the Seminar in Algebra and Algebraic Geometry

EPW cubes

Kristian Ranestad

EPW cubes are 6-folds that admits a hyperkähler double cover, thus giving a new 20-dimensional family of projective 6-dimensional irreducible holomorphic symplectic manifolds. The elements of this family are deformation equivalent with the Hilbert scheme of three points on a K3 surface.

The EPW cubes are special codimension 3 subvarieties of the Grassmanian G(3,6). These codimension 3 subvarieties are defined

as Lagrangian degeneracy loci and their construction is parallel to that of EPW sextics. I report on recent work with Atanas Iliev, Grzegorz and Michal Kapustka.

Published Sep. 21, 2015 11:38 AM
- Last modified Sep. 21, 2015 11:38 AM