Elmanto, Elden and Hoyois, Marc and Iwasa, Ryomei and Kelly, Shane (2021) Milnor excision for motivic spectra. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 779. pp. 223-235. ISSN 0075-4102, 1435-5345
Full text not available from this repository. (Request a copy)Abstract
We prove that the oo-category of motivic spectra satisfies Milnor excision: if A B is a morphism of commutative rings sending an ideal I C A isomorphically onto an ideal of B, then a motivic spectrum over A is equivalent to a pair of motivic spectra over B and A/I that are identified over B/IB. Consequently, any cohomology theory represented by a motivic spectrum satisfies Milnor excision. We also prove Milnor excision for Ayoub's etale motives over schemes of finite virtual cohomological dimension.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | K-THEORY; ETALE; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Sep 2022 07:55 |
| Last Modified: | 14 Sep 2022 07:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/47404 |
Actions (login required)
 |
View Item |
