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

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

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 r...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-12, Vol.219 (3), p.462-472
1. Verfasser: Ikonnikova, E. V.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Modules
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-3119-0