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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2014 Volume 423, Pages 126–131 (Mi znsl6001)

This article is cited in 4 papers

Elementary abelian conductor

I. B. Zhukov

St. Petersburg State University, St. Petersburg, Russia

Abstract: The paper is devoted to ramification theory for a class of complete discrete valuation fields that includes $2$-dimensional local fields of prime characteristic $p$. It is proved that any finite extension of such a field can be modified into an extension with zero ramification depth by means of an infinite elementary abelian base change.

Key words and phrases: complete discrete valuation field, imperfect residue field, $2$-dimensional local field, ramification, conductor.

UDC: 512.62

Received: 04.05.2014


 English version:
Journal of Mathematical Sciences (New York), 2015, 209:4, 564–567

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