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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Composition series for GKZ-systems
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by Jiangxue Fang PDF
Trans. Amer. Math. Soc. 373 (2020), 3445-3481 Request permission

Abstract:

In this paper, we find a composition series of GKZ-systems with semisimple successive quotients. We also study the composition series of the corresponding perverse sheaves and compare these two composition series under the Riemann-Hilbert correspondence.
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Additional Information
  • Jiangxue Fang
  • Affiliation: Department of Mathematics, Capital Normal University, Beijing 100148, People’s Republic of China
  • MR Author ID: 882329
  • Email: fangjiangxue@gmail.com
  • Received by editor(s): November 17, 2018
  • Received by editor(s) in revised form: April 2, 2019, May 7, 2019, June 27, 2019, August 23, 2019, and August 29, 2019
  • Published electronically: February 19, 2020
  • Additional Notes: The author’s research was supported by the NSFC grant No. 11671269.
  • © Copyright 2020 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 373 (2020), 3445-3481
  • MSC (2010): Primary 14F10, 32S60
  • DOI: https://doi.org/10.1090/tran/7999
  • MathSciNet review: 4082244