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Leopoldt's problem for Abelian totally ramified extensions of complete discrete valuation fields
Author(s):
M.
V.
Bondarko
Abstract | References | Similar articles | Additional information
Abstract:
By using methods described in earlier papers of the author, it is proved that, in many cases, if an Abelian totally ramified
Retrieve articles in St. Petersburg Mathematical Journal with MSC (2000): 12F99 Retrieve articles in all Journals with MSC (2000): 12F99
M.
V.
Bondarko
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-extension contains an ideal free over its associated order, then the extension is of the type described and completely classified in an earlier paper of the author (such extensions are said to be semistable). A counterexample to this statement is presented in the case where the conditions on the extension are not fulfilled. Several other properties of extensions in question are proved. 
-extensions of complete discrete valuation fields, Doc. Math. 5 (2000), 657-693. 
-extensions of complete discrete valuation fields, Algebraic Number Theory and Algebraic Geometry: Papers Dedicated to A. N. Parshin on the Occasion of his Sixtieth Birthday, Contemp. Math., vol. 300, Amer. Math. Soc., Providence, RI, 2002, pp. 27-57. 