102 citations · 388 across the 40 of their papers we have counts for
3 papers · 1 filter
Additive invariants of orbifolds
Goncalo Tabuada, Michel Van den Bergh
In this article, using the recent theory of noncommutative motives, we compute the additive invariants of orbifolds (equipped with a sheaf of Azumaya algebras) using solely "fixed-…
On an analogue of the Markov equation for exceptional collections of length 4
Louis de Thanhoffer de Volcsey, Michel Van den Bergh
We classify the solutions to a system of equations, introduced by Bondal, which encode numerical constraints on full exceptional collections of length 4 on surfaces. The correspond…
Semi-orthogonal decompositions of GIT quotient stacks
Špela Špenko, Michel Van den Bergh
If G is a reductive group which acts on a linearized smooth scheme then we show that under suitable standard conditions the derived category of coherent sheaves of the correspo…