Components of the space parametrizing graded Gorenstein Artin algebras with a given Hilbert function

Mats Boij

Vol. 187 (1999), No. 1, 1–11

DOI: 10.2140/pjm.1999.187.1

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.

Milestones

Received: 9 July 1997

Revised: 12 September 1997

Published: 1 January 1999