20 citations · 38 across the 6 of their papers we have counts for
7 papers
Unbounded derived categories of small and big modules: Is the natural functor fully faithful?
Leonid Positselski, Olaf M. Schnürer
Consider the obvious functor from the unbounded derived category of all finitely generated modules over a left noetherian ring to the unbounded derived category of all modules.…
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…
Six operations on dg enhancements of derived categories of sheaves
Olaf M. Schnürer
We lift Grothendieck-Verdier-Spaltenstein's six functor formalism for derived categories of sheaves on ringed spaces over a field to differential graded enhancements. Our main tool…
Homotopy categories and idempotent completeness, weight structures and weight complex functors
Olaf M. Schnürer
This article provides some basic results on weight structures, weight complex functors and homotopy categories. We prove that the full subcategories K(A)^{w < n}, K(A)^{w > n}, K(A…
Equivariant Sheaves on Flag Varieties
Olaf M. Schnürer
We show that the Borel-equivariant derived category of sheaves on the flag variety of a complex reductive group is equivalent to the perfect derived category of dg modules over the…
Perfect Derived Categories of Positively Graded DG Algebras
Olaf M. Schnürer
We investigate the perfect derived category dgPer(A) of a positively graded differential graded (dg) algebra A whose degree zero part is a dg subalgebra and semisimple as a ring. W…
Regular Connections on Principal Fiber Bundles over the Infinitesimal Punctured Disc
Olaf M. Schnürer
This paper concerns regular connections on trivial algebraic G-principal fiber bundles over the infinitesimal punctured disc, where G is a connected reductive linear algebraic grou…