133 citations · 376 across the 27 of their papers we have counts for
5 papers · 1 filter
A remark on a theorem by Deligne
M. Van den Bergh
We give a proof avoiding spectral sequences of Deligne's decomposition theorem for objects in a triangulated category admitting a Lefschetz homomorphism.
Non-commutative crepant resolutions
Michel Van den Bergh
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 conj…
Simplicity of Rings of Differential Operators in Prime Characteristic
Karen E. Smith, Michel Van den Bergh
Let W be a finite dimensional representation of a linearly reductive group G over a field k. Motivated by their work on classical rings of invariants, Levasseur and Stafford asked…
Three-dimensional flops and non-commutative rings
Michel Van den Bergh
If Y,Z are three-dimensional smooth varieties related by a flop, then Bondal and Orlov conjectured that the derived categories of coherent sheaves on Y and Z are equivalent. This c…
Generators and representability of functors in commutative and noncommutative geometry
Alexei Bondal, Michel Van den Bergh
We give a sufficient condition for an Ext-finite triangulated category to be saturated. Saturatedness means that every contravariant cohomological functor of finite type to vector…