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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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On cones tangent to Schubert varieties of type $D_n$
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by M. V. Ignat′ev and A. A. Shevchenko
Translated by: M. V. Ignat′ev
St. Petersburg Math. J. 27 (2016), 609-623
DOI: https://doi.org/10.1090/spmj/1408
Published electronically: June 2, 2016

Abstract:

It is proved that the tangent cones to Schubert subvarieties of the flag variety of a reductive group with root system of type $D_n$ do not coincide if they correspond to different basic involutions in the Weyl group.
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Bibliographic Information
  • M. V. Ignat′ev
  • Affiliation: Division of Algebra and Geometry, Samara State University, Russia
  • Email: mihail.ignatev@gmail.com
  • A. A. Shevchenko
  • Affiliation: Division of Algebra and Geometry, Samara State University, Russia
  • Email: shevchenko.alexander.1618@gmail.com
  • Received by editor(s): February 2, 2015
  • Published electronically: June 2, 2016
  • Additional Notes: Partially supported by RFBR (grants nos. 14-01-31052 and 14-01-97017). The first author was partially supported by the Dynasty Foundation, by Max Planck Institute for Mathematics, and by the Ministry of Science and Education of the Russian Federation.
  • © Copyright 2016 American Mathematical Society
  • Journal: St. Petersburg Math. J. 27 (2016), 609-623
  • MSC (2010): Primary 14L30
  • DOI: https://doi.org/10.1090/spmj/1408
  • MathSciNet review: 3580190