107 citations · 692 across the 31 of their papers we have counts for
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Approximation of sheaves on algebraic stacks
David Rydh
Raynaud--Gruson characterized flat and pure morphisms between affine schemes in terms of projective modules. We give a similar characterization for non-affine morphisms. As an appl…
Coherent Tannaka duality and algebraicity of Hom-stacks
Jack Hall, David Rydh
We establish Tannaka duality for noetherian algebraic stacks with affine stabilizer groups. Our main application is the existence of Hom-stacks in great generality.
Algebraic groups and compact generation of their derived categories of representations
Jack Hall, David Rydh
Let be a field. We characterize the group schemes over , not necessarily affine, such that is compactly generated. We also describe the…
One positive and two negative results for derived categories of algebraic stacks
Jack Hall, Amnon Neeman, David Rydh
Let be a quasi-compact and quasi-separated scheme. There are two fundamental and pervasive facts about the unbounded derived category of : (1) …
Perfect complexes on algebraic stacks
Jack Hall, David Rydh
We develop a theory of unbounded derived categories of quasi-coherent sheaves on algebraic stacks. In particular, we show that these categories are compactly generated by perfect c…