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


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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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