Email this article Classification of Formal A-Modules in the Case of Small Ramification
- Authors: Afanas’eva S.S.1, Vostokov S.V.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 219, No 3 (2016)
- Pages: 337-342
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238564
- DOI: https://doi.org/10.1007/s10958-016-3108-3
- ID: 238564
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Abstract
In this paper, an explicit classification of formal A-modules over the ring of integers of a local field up to a strict isomorphism is obtained in the case of small ramification. Canonical representatives in each class of isomorphic formal A-modules are described. These results generalize the classification of ℤp-modules in small ramification.
About the authors
S. S. Afanas’eva
St.Petersburg State University
Author for correspondence.
Email: cheery_sonya@mail.ru
Russian Federation, St. Petersburg
S. V. Vostokov
St.Petersburg State University
Email: cheery_sonya@mail.ru
Russian Federation, St. Petersburg
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