Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics
Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics
Eisenbud, Popescu, and Walter [4] have constructed certain special sextic hypersurfaces in P5 as Lagrangian degeneracy loci. We prove that the natural double cover of a generic Eisenbud-Popescu-Walter (EPW) sextic is a deformation of the Hilbert square of a K3-surface (K3)[2] and that the family of such varieties is locally …