303 citations
- Centre National de la Recherche ScientifiqueFR9 papers
- Max Planck Institute for Nuclear PhysicsDE6 papers
- Université de MontpellierFR6 papers
- École PolytechniqueFR5 papers
- Max Planck SocietyDE5 papers
- Ruhr University BochumDE5 papers
- Universität HamburgDE5 papers
- Université Toulouse III - Paul SabatierFR5 papers
- A. Alikhanyan National LaboratoryAM4 papers
- CEA Paris-SaclayFR4 papers
- Charles UniversityCZ4 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR4 papers
5 papers · 1 filter
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…
Multiplicative preprojective algebras, middle convolution and the Deligne-Simpson problem
William Crawley-Boevey, Peter Shaw
We introduce a family of algebras which are multiplicative analogues of preprojective algebras, and their deformations, as introduced by M. P. Holland and the first author. We show…
The homotopy category of complexes of projective modules
Peter Jorgensen
The homotopy category of complexes of projective left-modules over any reasonably nice ring is proved to be a compactly generated triangulated category, and a duality is given betw…
Finite flat and projective dimension
Peter Jorgensen
Over a right-noetherian algebra admitting a dualizing complex, any left-module with finite flat dimension also has finite projective dimension.
Ext vanishing and infinite Auslander-Buchsbaum
Peter Jorgensen
A vanishing theorem is proved for Ext groups over non-commutative graded algebras. Along the way, an "infinite" version is proved of the non-commutative Auslander-Buchsbaum theorem…