133 citations · 376 across the 27 of their papers we have counts for
5 papers · 1 filter
On the -category
Michel Van den Bergh
In this paper we give a direct proof of the properties of the $\ZZ D_\infty$ category which was introduced in the classification of noetherian, hereditary categories with Serre dua…
Double Poisson algebras
Michel Van den Bergh
In this paper we develop Poisson geometry for non-commutative algebras. This generalizes the bi-symplectic geometry which was recently, and independently, introduced by Crawley-Boe…
Hochschild cohomology of abelian categories and ringed spaces
W. T. Lowen, M. Van den Bergh
This paper continues the development of the deformation theory of abelian categories introduced in a previous paper by the authors. We show first that the deformation theory of abe…
Deformation theory of abelian categories
Wenty T. Lowen, Michel Van den Bergh
In this paper we develop the basic infinitesimal deformation theory of abelian categories. This theory yields a natural generalization of the well-known deformation theory of algeb…
Fourier-Mukai Transforms
Lutz Hille, Michel Van den Bergh
In this paper we discuss some of the recent developments on derived equivalences in algebraic geometry.