Cohomology of $(\varphi, \tau)$-modules
| Autor: | Gao, Hui, Zhao, Luming |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We construct cohomology theories for $(\varphi, \tau)$-modules, and study their relation with cohomology of $(\varphi, \Gamma)$-modules, as well as Galois cohomology. Our method is axiomatic, and can treat the \'etale case, the overconvergent case, and the rigid-overconvergent case simultaneously. We use recent advances in locally analytic cohomology as a key ingredient. Comment: v2: very minor revisions. 30page. comments welcome! |
| Databáze: | arXiv |
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