102 citations · 388 across the 40 of their papers we have counts for
6 papers · 1 filter
On involutivity of p-support
Michel Van den Bergh
The p-support of a holonomic D-module was introduced by Kontsevich. Thomas Bitoun in his PhD thesis proved several properties of p-support conjectured by Kontsevich. In this note w…
Calabi-Yau Deformations and Negative Cyclic Homology
Michel Van den Bergh, Louis de Thanhoffer de Völcsey
In this paper we relate the deformation theory of Ginzburg Calabi-Yau algebras to negative cyclic homology. We do this by exhibiting a DG-Lie algebra that controls this deformation…
Explicit models for some stable categories of maximal Cohen-Macaulay modules
Louis de Thanhoffer de Völcsey, Michel Van den Bergh
We give concrete DG-descriptions of certain stable categories of maximal Cohen-Macaulay modules. This makes in possible to describe the latter as generalized cluster categories in…
Representations of non-commutative quantum groups
Benoit Kriegk, Michel Van den Bergh
We discuss the representation theory of the bialgebra end(A) introduced by Manin. As a side result we give a new proof that Koszul algebras are distributive and furthermore we show…
Notes on formal deformations of abelian categories
Michel Van den Bergh
In these notes we provide the foundation for the deformation theoretic parts of arXiv:0807.3753 and arXiv:math/0102005.
Non-commutative $\PP^1$-bundles over commutative schemes
Michel Van den Bergh
In this paper we develop the theory of non-commutative $\PP^1$-bundles over commutative (smooth) schemes. Such non-commutative $\PP^1$-bundles occur in the theory of -modules bu…