Abstract

We give geometric constructions of families of graded Gorenstein Artin algebras, some of which span a component of the space Gor(T) parametrizing Gorenstein Artin algebras with a given Hilbert function T. This gives a lot of examples where 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.

Authors