102 citations · 388 across the 40 of their papers we have counts for
6 papers · 1 filter
Calabi-Yau algebras and superpotentials
Michel Van den Bergh
We prove that complete d-Calabi-Yau algebras in the sense of Ginzburg are derived from superpotentials.
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…
On the derived category of Grassmannians in arbitrary characteristic
Ragnar-Olaf Buchweitz, Graham J. Leuschke, Michel Van den Bergh
In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-known characteristic-zero results we construct dual exceptional collections on the…
Some new examples of non-degenerate quiver potentials
Louis de Thanhoffer de Völcsey, Michel Van den Bergh
We prove a technical result which allows us to establish the non-degeneracy of potentials on quivers in some previously unknown or non-obvious cases. Our result applies to certain…
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.