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...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
19 September 2025
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| In: |
Journal de théorie des nombres de Bordeaux
Year: 2025, Volume: 37, Issue: 2, Pages: 665-690 |
| ISSN: | 2118-8572 |
| DOI: | 10.5802/jtnb.1336 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.5802/jtnb.1336 Verlag, kostenfrei, Volltext: https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1336/ 
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| Author Notes: | Rustam Steingart |
| Summary: | 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. |
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| Item Description: | Gesehen am 25.02.2026 |
| Physical Description: | Online Resource |
| ISSN: | 2118-8572 |
| DOI: | 10.5802/jtnb.1336 |