Zábrádi, Gergely (2014) (ϕ, Γ)-modules over noncommutative overconvergent and Robba rings. ALGEBRA AND NUMBER THEORY, 8 (1). pp. 191-242. ISSN 1937-0652
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Official URL: https://doi.org/10.2140/ant.2014.8.191
Abstract
We construct noncommutative multidimensional versions of overconvergent power series rings and Robba rings. We show that the category of étale (ϕ, Γ)-modules over certain completions of these rings are equivalent to the category of étale (ϕ, Γ)-modules over the corresponding classical overconvergent, resp. Robba rings (hence also to the cat- egory of p-adic Galois representations of Qp). Moreover, in the case of Robba rings, the assumption of étaleness is not necessary, so there exists a notion of trianguline objects in this sense.
| Item Type: | Article |
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| Uncontrolled Keywords: | Robba ring; Overconvergent; Noncommutative; (φ, γ) -module; |
| Subjects: | Q Science / természettudomány > QC Physics / fizika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 26 Feb 2024 15:15 |
| Last Modified: | 26 Feb 2024 15:15 |
| URI: | https://real.mtak.hu/id/eprint/189040 |
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