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JOURNALS // Algebra i Analiz // Archive

Algebra i Analiz, 2014 Volume 26, Issue 5, Pages 1–63 (Mi aa1396)

This article is cited in 14 papers

Expository Surveys

Ramification of higher local fields, approaches and questions

L. Xiaoa, I. Zhukovb

a Department of Mathematics, University of Connecticut, Storrs, 196 Auditorium Road Unit 3009, Storrs, CT 06269-3009, USA
b Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ pr., 28, Staryĭ Peterhof, 198504, St. Petersburg, Russia

Abstract: A survey paper includes facts, ideas and problems related to ramification in finite extensions of complete discrete valuation fields with arbitrary residue fields. Some new results are included.

Keywords: ramification, complete discrete valuation field, two-dimensional local ring, higher local field.

Received: 25.04.2014

Language: English


 English version:
St. Petersburg Mathematical Journal, 2015, 26:5, 695–740

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© Steklov Math. Inst. of RAS, 2025