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The Hensel–Shafarevich Canonical Basis in Lubin–Tate Formal Modules

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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.

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Authors and Affiliations

  1. St.Petersburg State University, St.Petersburg, Russia

    E. V. Ikonnikova

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  1. E. V. Ikonnikova
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Correspondence to E. V. Ikonnikova.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 430, 2014, pp. 186–201.

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Ikonnikova, E.V. The Hensel–Shafarevich Canonical Basis in Lubin–Tate Formal Modules. J Math Sci 219, 462–472 (2016). https://doi.org/10.1007/s10958-016-3119-0

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  • DOI: https://doi.org/10.1007/s10958-016-3119-0

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