Zargar, Masoud (2019) Comparison of stable homotopy categories and a generalized Suslin-Voevodsky theorem. ADVANCES IN MATHEMATICS, 354: 106744. ISSN 0001-8708, 1090-2082
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Let k be an algebraically closed field of exponential characteristic p. Given any prime l not equal p, we construct a stable etale realization functor Et-l : Spt(k) -> Pro(Spt)(HZ/l) from the stable infinity-category of motivic P-1-spectra over k to the stable infinity-category of (HZ/l)*-local pro-spectra (see section 3 for the definition). This is induced by the kale topological realization functor a la Friedlander. The constant presheaf functor naturally induces the functor SH[1/p] -> SH(k)[1/p], where k and p are as above and SH and SH(k) are the classical and motivic stable homotopy categories, respectively. We use the stable kale realization functor to show that this functor is fully faithful. Furthermore, we conclude with a homotopy theoretic generalization of the kale version of the Suslin-Voevodsky theorem. (C) 2019 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ETALE REALIZATION; SHEAVES; Stable homotopy theory; Homotopy theory of schemes; Motivic cohomology; Rigidity; Pro-homotopy theory; Etale realization |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 27 Mar 2020 07:14 |
| Last Modified: | 27 Mar 2020 07:14 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26192 |
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