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(ϕ, Γ)-modules over noncommutative overconvergent and Robba rings

  • Metaadatok
Tartalom: https://real.mtak.hu/189040/
Archívum: REAL
Gyűjtemény: Status = Published
Subject = Q Science / természettudomány: QC Physics / fizika
Type = Article
Cím:
(ϕ, Γ)-modules over noncommutative overconvergent and Robba rings
Létrehozó:
Zábrádi, Gergely
Dátum:
2014
Téma:
QC Physics / fizika
Tartalmi leírás:
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.
Nyelv:
angol
Típus:
Article
PeerReviewed
info:eu-repo/semantics/article
Formátum:
text
Azonosító:
Zábrádi, Gergely (2014) (ϕ, Γ)-modules over noncommutative overconvergent and Robba rings. ALGEBRA AND NUMBER THEORY, 8 (1). pp. 191-242. ISSN 1937-0652
Kapcsolat:
MTMT:2720905 10.2140/ant.2014.8.191
Létrehozó:
cc_by