Modular perverse sheaves on flag varieties III: Positivity conditions
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- by Pramod N. Achar and Simon Riche PDF
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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