Comparisons of Lie algebra cohomologies of (φ, Γ)-modules
We generalise a result of Fourquaux and Xie thereby completely determining the relationship between Qp-analytic and L-analytic Lie algebra cohomology of analytic (φL, ΓL)-modules. We use the results to conclude that for L̸ = Qp, there exist examples of étale (φL, ΓL)-modules over Robba rings whose...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
19 September 2025
|
| In: |
Journal de théorie des nombres de Bordeaux
Year: 2025, Jahrgang: 37, Heft: 2, Pages: 665-690 |
| ISSN: | 2118-8572 |
| DOI: | 10.5802/jtnb.1336 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.5802/jtnb.1336 Verlag, kostenfrei, Volltext: https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1336/ 
|
| Verfasserangaben: | Rustam Steingart |
| Zusammenfassung: | We generalise a result of Fourquaux and Xie thereby completely determining the relationship between Qp-analytic and L-analytic Lie algebra cohomology of analytic (φL, ΓL)-modules. We use the results to conclude that for L̸ = Qp, there exist examples of étale (φL, ΓL)-modules over Robba rings whose Qp-analytic cohomology does not arise as a base change of Galois cohomology. |
|---|---|
| Beschreibung: | Gesehen am 25.02.2026 |
| Beschreibung: | Online Resource |
| ISSN: | 2118-8572 |
| DOI: | 10.5802/jtnb.1336 |