Krishna, Amalendu ; Ostvær, Paul Arne (2012) Nisnevich descent for K-theory of Deligne-Mumford stacks Journal of K-Theory, 9 (02). pp. 291-331. ISSN 1865-2433
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Official URL: https://www.cambridge.org/core/journals/journal-of...
Related URL: http://dx.doi.org/10.1017/is011006028jkt161
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Cambridge University Press. |
| Keywords: | Deligne-Mumford Stacks; K-Theory of Perfect Complexes; Nisnevich Descent |
| ID Code: | 102460 |
| Deposited On: | 09 Mar 2018 10:47 |
| Last Modified: | 09 Mar 2018 10:47 |
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