The Hensel–Shafarevich Canonical Basis in Lubin–Tate Formal Modules
- Authors: Ikonnikova E.V.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 219, No 3 (2016)
- Pages: 462-472
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/238596
- DOI: https://doi.org/10.1007/s10958-016-3119-0
- ID: 238596
Cite item
Abstract
In the present paper, a generalization of the Hensel–Shafarevich basis for Lubin–Tate formal modules over a local field is presented. These formal modules are constructed on the maximal ideal of some extension of this field. The cases where the extension has a perfect residue field or an imperfect residue field are studied. Bibliography: 10 titles.
About the authors
E. V. Ikonnikova
St.Petersburg State University
Author for correspondence.
Email: elena.mm112@gmail.com
Russian Federation, St.Petersburg
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