Author’s abstract: We give geometric constructions of families of graded Gorenstein Artin algebras, some of which span a component of the space \(\text{Gor}(T)\) parametrizing Gorenstein Artin algebras with a given Hilbert function \(T\). This gives a lot of examples where \(\text{Gor}(T)\) is reducible. We also show that the Hilbert function of a codimension four Gorenstein Artin algebra can have an arbitrarily long constant part without having the weak Lefschetz property.