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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Ramification of higher local fields, approaches and questions
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by L. Xiao and I. Zhukov
St. Petersburg Math. J. 26 (2015), 695-740
DOI: https://doi.org/10.1090/spmj/1355
Published electronically: July 27, 2015

Abstract:

A survey paper that 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.
References
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Bibliographic Information
  • L. Xiao
  • Affiliation: Department of Mathematics, University of Connecticut, Storrs, 196 Auditorium Road Unit 3009, Storrs, Connecticut 06269-3009
  • MR Author ID: 888789
  • Email: lxiao@math.uconn.edu
  • I. Zhukov
  • Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ pr. 28, Staryĭ Peterhof, 198504 St. Petersburg, Russia
  • Email: i.zhukov@spbu.ru
  • Received by editor(s): April 25, 2014
  • Published electronically: July 27, 2015
  • Additional Notes: The first author acknowledges support from Simons Foundation #278433 and CORCL research grant from University of California, Irvine. The second author acknowledges support from RFBR (projects nos. 11-01-00588-a and 14-01-00393-a)
  • © Copyright 2015 American Mathematical Society
  • Journal: St. Petersburg Math. J. 26 (2015), 695-740
  • MSC (2010): Primary 11S15
  • DOI: https://doi.org/10.1090/spmj/1355
  • MathSciNet review: 3408704