3 citations · 8 across the 9 of their papers we have counts for
9 papers
Wrong way recollement for schemes
Peter Jorgensen
A recollement of triangulated categories makes it possible to view one such category as being glued together from two others. The prototypical example is that D(X), a suitable deri…
Finite Cohen-Macaulay type and smooth non-commutative schemes
Peter Jorgensen
A commutative local Cohen-Macaulay ring R of finite Cohen-Macaulay type is known to be an isolated singularity; that is, Spec(R)-m is smooth. This paper proves a non-commutative an…
Recollement for Differential Graded Algebras
Peter Jorgensen
A recollement of triangulated categories describes one such category as being "glued together" from two others. This paper gives a precise criterion for the existence of a recollem…
Existence of Gorenstein projective resolutions
Peter Jorgensen
Gorenstein rings are important to mathematical areas as diverse as algebraic geometry, where they encode information about singularities of spaces, and homotopy theory, through the…
Symmetry theorems for Ext vanishing
Peter Jorgensen
It was proved by Avramov and Buchweitz that if A is a commutative local complete intersection ring with finitely generated modules M and N, then the Ext groups between M and N vani…
Semi-dualizing modules and related Gorenstein homological dimensions
Henrik Holm, Peter Jorgensen
A semi-dualizing module over a commutative noetherian ring A is a finitely generated module C with RHom_A(C,C) \simeq A in the derived category D(A). We show how each such module g…