99 citations · 108 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
Noncommutative curves and noncommutative surfaces
J. T. Stafford, M. Van den Bergh
In this survey article we describe some geometric results in the theory of noncommutative rings and, more generally, in the theory of abelian categories. Roughly speaking and by an…
Semi-invariants of quivers for arbitrary dimension vectors
Aidan Schofield, Michel Van den Bergh
The representations of dimension vector of the quiver Q can be parametrised by a vector space on which an algebraic group $\Gl(α)$ acts so that the set of orbits is bi…