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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
Oct 2025
|
| In: |
Bulletin of the London Mathematical Society
Year: 2025, Jahrgang: 57, Heft: 10, Pages: 3194-3210 |
| ISSN: | 1469-2120 |
| DOI: | 10.1112/blms.70151 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1112/blms.70151
|
| Verfasserangaben: | Alberto Merici |
| Zusammenfassung: | 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. |
|---|---|
| Beschreibung: | Gesehen am 13.11.2025 |
| Beschreibung: | Online Resource |
| ISSN: | 1469-2120 |
| DOI: | 10.1112/blms.70151 |