3 citations · 5 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
On the -category
Michel Van den Bergh
In this paper we give a direct proof of the properties of the $\ZZ D_\infty$ category which was introduced in the classification of noetherian, hereditary categories with Serre dua…
Hochschild cohomology of abelian categories and ringed spaces
W. T. Lowen, M. Van den Bergh
This paper continues the development of the deformation theory of abelian categories introduced in a previous paper by the authors. We show first that the deformation theory of abe…
Deformation theory of abelian categories
Wenty T. Lowen, Michel Van den Bergh
In this paper we develop the basic infinitesimal deformation theory of abelian categories. This theory yields a natural generalization of the well-known deformation theory of algeb…