Motivic p-adic tame cohomology
We construct a comparison functor between (A(1)-local) tame motives and ((sic)-local) log-etale motives over a field of positive characteristic. This generalizes Binda-Park-Ostv ae r's comparison for the Nisnevich topology. As a consequence, we construct an E-infinity-ring spectrum Hz/p(m) repr...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
Oct 2025
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| In: |
Bulletin of the London Mathematical Society
Year: 2025, Volume: 57, Issue: 10, Pages: 3194-3210 |
| ISSN: | 1469-2120 |
| DOI: | 10.1112/blms.70151 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1112/blms.70151
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| Author Notes: | Alberto Merici |
| Summary: | We construct a comparison functor between (A(1)-local) tame motives and ((sic)-local) log-etale motives over a field of positive characteristic. This generalizes Binda-Park-Ostv ae r's comparison for the Nisnevich topology. As a consequence, we construct an E-infinity-ring spectrum Hz/p(m) representing mod p(m) tame motivic cohomology: the existence of this ring spectrum and the usual properties of motives imply some results on tame motivic cohomology and a comparison with log & eacute;tale motivic cohomology. |
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| Item Description: | Gesehen am 13.11.2025 |
| Physical Description: | Online Resource |
| ISSN: | 1469-2120 |
| DOI: | 10.1112/blms.70151 |