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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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Modular perverse sheaves on flag varieties III: Positivity conditions
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by Pramod N. Achar and Simon Riche PDF
Trans. Amer. Math. Soc. 370 (2018), 447-485 Request permission

Abstract:

We further develop the general theory of the “mixed modular derived category” introduced by the authors in a previous paper in this series. We then use it to study positivity and $Q$-Koszulity phenomena on flag varieties.
References
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Additional Information
  • Pramod N. Achar
  • Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
  • MR Author ID: 701892
  • Email: pramod@math.lsu.edu
  • Simon Riche
  • Affiliation: Université Blaise Pascal - Clermont-Ferrand II, Laboratoire de Mathématiques, CNRS, UMR 6620, Campus universitaire des Cézeaux, F-63177 Aubière Cedex, France
  • MR Author ID: 834430
  • Email: simon.riche@math.univ-bpclermont.fr
  • Received by editor(s): September 30, 2014
  • Received by editor(s) in revised form: January 27, 2016, and April 6, 2016
  • Published electronically: June 27, 2017
  • Additional Notes: The first author was supported by NSF Grant No. DMS-1001594
    The second author was supported by ANR Grants No. ANR-09-JCJC-0102-01, ANR-2010-BLAN-110-02 and ANR-13-BS01-0001-01.
  • © Copyright 2017 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 370 (2018), 447-485
  • MSC (2010): Primary 14F05, 14M15, 20G40
  • DOI: https://doi.org/10.1090/tran/6952
  • MathSciNet review: 3717986