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Modul:   MAT770  Oberseminar: Algebraische Geometrie


EPW cubes

Prof. Dr. Michal Kapustka's talk

Date: 18.05.15   Time: 13.15 - 14.45   Room: Y27H25

I will report on joint work with A. Iliev, G. Kapustka, K. Ranestad. We construct 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. They are constructed as natural double covers of special codimension 3 subvarieties of the Grassmanian G(3,6). These codimension 3 subvarieties are defined as Lagrangian degeneracy loci and can be seen as generalizations of EPW sextics, we call them the EPW cubes.