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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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Symmetrization of bounded remainder sets
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by V. G. Zhuravlev
Translated by: A. Luzgarev
St. Petersburg Math. J. 28 (2017), 491-506
DOI: https://doi.org/10.1090/spmj/1461
Published electronically: May 4, 2017

Abstract:

A new method for constructing exchanged toric developments is suggested. This method is based on symmetrization of embedded or induced toric developments and is the main tool for obtaining bounded remainder sets in arbitrary dimension.
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Bibliographic Information
  • V. G. Zhuravlev
  • Affiliation: Vladimir State University, pr. Stroiteley 11, Vladimir 600024, Russia
  • Email: vzhuravlev@mail.ru
  • Received by editor(s): April 27, 2015
  • Published electronically: May 4, 2017
  • Additional Notes: Supported by RSF (project no. 14-11-00433).
  • © Copyright 2017 American Mathematical Society
  • Journal: St. Petersburg Math. J. 28 (2017), 491-506
  • MSC (2010): Primary 52C17
  • DOI: https://doi.org/10.1090/spmj/1461
  • MathSciNet review: 3604298