102 citations · 388 across the 40 of their papers we have counts for
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Non-commutative desingularization of determinantal varieties, I
Ragnar-Olaf Buchweitz, Graham J. Leuschke, Michel Van den Bergh
We show that determinantal varieties defined by maximal minors of a generic matrix have a non-commutative desingularization, in that we construct a maximal Cohen-Macaulay module ov…
Hochschild cohomology for Lie algebroids
Damien Calaque, Carlo A. Rossi, Michel Van den Bergh
We define the Hochschild (co)homology of a ringed space relative to a locally free Lie algebroid. Our definitions mimic those of Swan and Caldararu for an algebraic variety. We sho…
Caldararu's conjecture and Tsygan's formality
Damien Calaque, Carlo A. Rossi, Michel Van den Bergh
In this paper we complete the proof of Caldararu's conjecture on the compatibility between the module structures on differential forms over poly-vector fields and on Hochschild hom…