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Nisnevich descent for K-theory of Deligne-Mumford stacks
Published online by Cambridge University Press: 18 October 2011
Abstract
We show localization, excision and descent theorems for K-theory of Deligne-Mumford stacks. Our approach employs the Nisnevich site which is a complete, regular and bounded cd-structure on the category of such stacks and restricts to the usual Nisnevich site on schemes. By combining excision with a refinement of localization sequences due to Krishna and Töen, we show that K-theory of perfect complexes on tame Deligne-Mumford stacks satisfies Nisnevich descent.
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- Copyright © ISOPP 2011
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