34 citations · 111 across the 8 of their papers we have counts for
9 papers
Functorial destackification and weak factorization of orbifolds
Daniel Bergh, David Rydh
Let X be a smooth and tame stack with finite inertia. We prove that there is a functorial sequence of blow-ups with smooth centers after which the stabilizers of X become abelian.…
Decompositions of derived categories of gerbes and of families of Brauer-Severi varieties
Daniel Bergh, Olaf M. Schnürer
It is well known that the category of quasi-coherent sheaves on a gerbe banded by a diagonalizable group decomposes according to the characters of the group. We establish the corre…
Conservative descent for semi-orthogonal decompositions
Daniel Bergh, Olaf M. Schnürer
Motivated by the local flavor of several well-known semi-orthogonal decompositions in algebraic geometry, we introduce a technique called conservative descent, which shows that it…
Categorical measures for finite group actions
Daniel Bergh, Sergey Gorchinskiy, Michael Larsen +1
Given a variety with a finite group action, we compare its equivariant categorical measure, that is, the categorical measure of the corresponding quotient stack, and the categorica…
Weak factorization and the Grothendieck group of Deligne-Mumford stacks
Daniel Bergh
We construct a presentation for the Grothendieck group of Deligne-Mumford stacks over a field of characteristic zero. The generators for this presentation are smooth, proper Delign…
Geometricity for derived categories of algebraic stacks
Daniel Bergh, Valery A. Lunts, Olaf M. Schnürer
We prove that the dg category of perfect complexes on a smooth, proper Deligne-Mumford stack over a field of characteristic zero is geometric in the sense of Orlov, and in particul…
Functorial destackification of tame stacks with abelian stabilisers
Daniel Bergh
We give an algorithm for removing stackiness from smooth, tame Artin stacks with abelian stabilisers by repeatedly applying stacky blow-ups. The construction works over a general b…
The Binomial Theorem and motivic classes of universal quasi-split tori
Daniel Bergh
Taking symmetric powers of varieties can be seen as a functor from the category of varieties to the category of varieties with an action by the symmetric group. We study a correspo…
Motivic classes of some classifying stacks
Daniel Bergh
We prove that the class of the classifying stack is the multiplicative inverse of the class of the projective linear group in the Grothendieck ring of stacks for…