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Semiglobal models of extensions of two-dimensional local fields

โœ Scribed by I. B. Zhukov

Book ID
111502614
Publisher
Allerton Press, Inc.
Year
2010
Tongue
English
Weight
185 KB
Volume
43
Category
Article
ISSN
1063-4541

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Let K be a finite tamely ramified extension of Q p and let L/K be a totally ramified (Z/p n Z)-extension. Let L be a uniformizer for L, let be a generator for Gal(L/K), and let f (X) be an element of O K [X] such that ( L ) = f ( L ). We show that the reduction of f (X) modulo the maximal ideal of O