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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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Coincidence of the Gysin homomorphism and the transfer
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by A. A. Mingazov
Translated by: A. A. Mingazov
St. Petersburg Math. J. 27 (2016), 631-640
DOI: https://doi.org/10.1090/spmj/1410
Published electronically: June 2, 2016
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Abstract:

The coincidence of the transfer and the Gysin homomorphism is proved for homotopy invariant sheaves with transfers. For this, the category of relative motives is constructed, together with a functor from this category to the category of Voevodsky’s motives.
References
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Bibliographic Information
  • A. A. Mingazov
  • Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Fontanka 27, St. Petersburg 191023, Russia
  • Email: mingazov88@gmail.com
  • Received by editor(s): March 10, 2015
  • Published electronically: June 2, 2016
  • Additional Notes: The author was supported by the Russian Science Foundation, grant no. 14-11-00456
  • © Copyright 2016 American Mathematical Society
  • Journal: St. Petersburg Math. J. 27 (2016), 631-640
  • MSC (2010): Primary 53A04; Secondary 52A40, 52A10
  • DOI: https://doi.org/10.1090/spmj/1410
  • MathSciNet review: 3580192