2 citations · 4 across the 6 of their papers we have counts for
7 papers · 1 filter
Naive noncommutative blowups at zero-dimensional schemes
D. Rogalski, J. T. Stafford
In an earlier paper (D. S. Keeler, D. Rogalski, and J. T. Stafford, ``Naive noncommutative blowing up,'' Duke Math. J., 126 (2005), 491-546), we defined and investigated the proper…
Rational Cherednik algebras and Hilbert schemes
I. Gordon, J. T. Stafford
Let H_c be the rational Cherednik algebra of type A_{n-1} with spherical subalgebra U_c = eH_ce. Then U_c is filtered by order of differential operators, with associated graded rin…
Simplicity of noncommutative Dedekind domains
K. R. Goodearl, J. T. Stafford
The following dichotomy is established: A finitely generated, complex Dedekind domain that is not commutative is simple. Weaker versions of this dichotomy are proved for Dedekind p…
Noncommutative projective geometry
J. T. Stafford
This article describes recent applications of algebraic geometry to noncommutative algebra. These techniques have been particularly successful in describing graded algebras of smal…
Algebras without noetherian filtrations
J. T. Stafford, J. J. Zhang
We provide examples of finitely generated noetherian PI algebras for which there is no finite dimensional filtration with a noetherian associated graded ring; thus we answer negati…
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…