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arxiv: 1005.0968 · v1 · submitted 2010-05-06 · 🧮 math.AG

Nisnevich Descent for Deligne-Mumford Stacks

classification 🧮 math.AG
keywords nisnevichstackscomplexesdeligne-mumforddescentperfectprovetheory
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We prove the excision theorem for the $K$-theory of perfect complexes on Deligne-Mumford stacks. This is then used to study the Nisnevich site of such stacks. We prove the Nisnevich descent for the $K$-theory of perfect complexes. We also draw some other consequences.

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