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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2013 Volume 413, Pages 106–114 (Mi znsl5665)

This article is cited in 5 papers

Ramification in elementary abelian extensions

I. B. Zhukov

St. Petersburg State University, St. Petersburg, Russia

Abstract: The paper is devoted to some properites of ramification invariants in infinite abelian extensions of exponent $p$ for a class of complete discrete valuation fields that includes $2$-dimensional local fields of prime characteristic $p$. In particular, it is proved that the maximal such extension with prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.

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

UDC: 512.62

Received: 17.04.2013


 English version:
Journal of Mathematical Sciences (New York), 2014, 202:3, 404–409

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