133 citations · 376 across the 27 of their papers we have counts for
Showing 1999Show all
3 papers · 1 filter
math.RT1999★ 18 cited
Noetherian hereditary categories satisfying Serre duality
Idun Reiten, Michel Van den Bergh
In this paper we classify noetherian hereditary abelian categories satisfying Serre duality in the sense of Bondal and Kapranov. As a consequence we obtain a classification of satu…
math.RA1999★ 2 cited
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…
math.RA1999★ 2 cited
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…