Journal article 1247 views 177 downloads
Group schemes and motivic spectra
Israel Journal of Mathematics, Volume: 259, Pages: 727 - 758
Swansea University Author:
Grigory Garkusha
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DOI (Published version): 10.1007/s11856-023-2492-x
Abstract
By a theorem of Mandell, May, Schwede and Shipley the stable homotopy theory of classical S1-spectra is recovered from orthogonal spectra. In this paper general linear, special linear, symplectic, orthogonal and special orthogonal motivic spectra are introduced and studied. It is shown that stable h...
| Published in: | Israel Journal of Mathematics |
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| ISSN: | 0021-2172 1565-8511 |
| Published: |
Springer Science and Business Media LLC
2024
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa59418 |
| Abstract: |
By a theorem of Mandell, May, Schwede and Shipley the stable homotopy theory of classical S1-spectra is recovered from orthogonal spectra. In this paper general linear, special linear, symplectic, orthogonal and special orthogonal motivic spectra are introduced and studied. It is shown that stable homotopy theory of motivic spectra is recovered from each of these types of spectra. An application is given for the localization functor C∗Fr : SHnis(k) → SHnis(k) in the sense of that converts Morel–Voevodsky stable motivic homotopy theory SH(k) into the equivalent local theory of framed bispectra. |
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| Item Description: |
Preprint before peer-review in Israel Journal of Mathematics available via https://arxiv.org/abs/1812.01384v3 |
| College: |
Faculty of Science and Engineering |
| Funders: |
EPSRC EP/W012030/1 |
| Start Page: |
727 |
| End Page: |
758 |