99 citations · 108 across the 11 of their papers we have counts for
5 papers · 1 filter
On incidence between strata of the Hilbert scheme of points on P^2
K. De Naeghel, M. Van den Bergh
The Hilbert scheme of n points in the projective plane has a natural stratification obtained from the associated Hilbert series. In general, the precise inclusion relation between…
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.
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…
Abstract blowing down
Michel Van den Bergh
Assume that is a surface over an algebraically closed field . Let be obtained from by blowing up a smooth point and let be the exceptional curve. Let $\c…