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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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The test function conjecture for parahoric local models
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by Thomas J. Haines and Timo Richarz
J. Amer. Math. Soc. 34 (2021), 135-218
DOI: https://doi.org/10.1090/jams/955
Published electronically: December 7, 2020

Abstract:

We prove the test function conjecture of Kottwitz and the first-named author for local models of Shimura varieties with parahoric level structure, and their analogues in equal characteristic.
References
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Bibliographic Information
  • Thomas J. Haines
  • Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742-4015
  • MR Author ID: 659516
  • Email: tjh@math.umd.edu
  • Timo Richarz
  • Affiliation: Fachbereich Mathematik, TU Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany
  • MR Author ID: 1004551
  • Email: richarz@mathematik.tu-darmstadt.de
  • Received by editor(s): April 9, 2018
  • Received by editor(s) in revised form: February 26, 2020, March 19, 2020, and March 26, 2020
  • Published electronically: December 7, 2020
  • Additional Notes: The research of the first author was partially supported by NSF DMS-1406787 and by Simons Fellowship 399424.
    The research of the second author was partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - 394587809.
  • © Copyright 2020 American Mathematical Society
  • Journal: J. Amer. Math. Soc. 34 (2021), 135-218
  • MSC (2010): Primary 14G35, 14M15, 20G05
  • DOI: https://doi.org/10.1090/jams/955
  • MathSciNet review: 4188816