Comparisons of Lie algebra cohomologies of $(\varphi,\Gamma)$-modules
| Autor: | Steingart, Rustam |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We generalise a result of Fourquaux and Xie thereby completely determining the relationship between $\mathbb{Q}_p$ and $L$-analytic Lie algebra cohomology of analytic $(\varphi_L,\Gamma_L)$-modules. We use the results to conclude that for $L\neq \mathbb{Q}_p,$ there exist examples of \'etale $(\varphi_L,\Gamma_L)$-modules over Robba rings whose $\mathbb{Q}_p$-analytic cohomology does not arise as a base change of Galois cohomology. Comment: 24 pages, comments welcome |
| Databáze: | arXiv |
| Externí odkaz: |
|