2002/11/04 by Michel Van den Bergh, Bergh, Michel Van den · 13 citations
Mathematics · #14A22 #14E30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary 18E30 #Rings and Algebras (math.RA) #math.AG #math.RA #msc:14A22 #msc:14E30 #msc:18E30
paper · pdf · doi:10.48550/arxiv.math/0211064
The main reason for this new version is that the argument for the existence of non-commutative crepant resolutions for cones of Del Pezzo surfaces was incorrect in the published version of this paper. Luckily the statement follows easily from the work of Kuleshov and Orlov. This approach was suggested to the author by Tom Bridgeland
openalex publication_date 2002/11/04 · arxiv created 2009/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce the notion of a ``non-commutative crepant'' resolution of a singularity and show that it exists in certain cases. We also give some evidence for an extension of a conjecture by Bondal and Orlov, stating that different crepant resolutions of a Gorenstein singularity have the same derived category.