Elmanto, Elden and Hoyois, Marc and Iwasa, Ryomei and Kelly, Shane (2021) Cdh descent, cdarc descent, and Milnor excision. MATHEMATISCHE ANNALEN, 379. pp. 1011-1045. ISSN 0025-5831, 1432-1807
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We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh infinity-topos of a quasi-compact quasi-separated scheme of finite valuative dimension is hypercomplete, extending a theorem of Voevodsky to nonnoetherian schemes. As an application, we show that ifEis a motivic spectrum over a fieldkwhich isn-torsion for someninvertible ink, then the cohomology theory onk-schemes defined byEsatisfies Milnor excision.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MOTIVIC COHOMOLOGY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Marc Hoyois |
| Depositing User: | Petra Gürster |
| Date Deposited: | 16 Apr 2021 09:34 |
| Last Modified: | 16 Apr 2021 09:34 |
| URI: | https://pred.uni-regensburg.de/id/eprint/43768 |
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