3 papers
math.AG2005
On incidence between strata of the Hilbert scheme of points on P^2
K. De Naeghel, M. Van den Bergh
The Hilbert scheme of n points in the projective plane has a natural stratification obtained from the associated Hilbert series. In general, the precise inclusion relation between…
math.RA2005
Ideal classes of three dimensional Artin-Schelter regular algebras
K. De Naeghel, M. Van den Bergh
We determine the possible Hilbert functions of graded rank one torsion free modules over three dimensional Artin-Schelter regular algebras. It turns out that, as in the commutative…
math.RA2005
Ideal classes of three dimensional Sklyanin algebras
K. De Naeghel, M. Van den Bergh
In this paper we classify graded reflexive ideals, up to isomorphism and shift, in certain three dimensional Artin-Schelter regular algebras. This classification is similar to the…