Bounded complexes on Deligne-Mumford stacks

Details Bounded complexes on Deligne-Mumford stacks Bounded complexes on Deligne-Mumford stacks

2010-06-18

arxiv.org/abs/1006.3810v1

Mathematics

Algebraic Geometry

74 pages

Scientific paper

Laszlo and Olsson constructed Grothendieck's six operations for unbounded complexes on Artin stacks under an assumption of finite cohomological dimension. In this article we construct a formalism of six operations for bounded complexes on Deligne-Mumford stacks without this assumption. We develop a theory of gluing of pseudo-functors, which allows us to prove base-change theorems in derived categories.

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