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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On generalized hypergeometric equations and mirror maps
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by Julien Roques PDF
Proc. Amer. Math. Soc. 142 (2014), 3153-3167 Request permission

Abstract:

This paper deals with generalized hypergeometric differential equations of order $n \geq 3$ having maximal unipotent monodromy at $0$. We show that among these equations those leading to mirror maps with integral Taylor coefficients at $0$ (up to simple rescaling) have special parameters, namely $R$-partitioned parameters. This result yields the classification of all generalized hypergeometric differential equations of order $n \geq 3$ having maximal unipotent monodromy at $0$ such that the associated mirror map has the above integrality property.
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Additional Information
  • Julien Roques
  • Affiliation: Université Grenoble Alpes, Institut Fourier, CNRS UMR 5582, 100 rue des Maths, BP 74, 38402 St. Martin d’Hères, France
  • MR Author ID: 803167
  • Email: Julien.Roques@ujf-grenoble.fr
  • Received by editor(s): June 22, 2012
  • Received by editor(s) in revised form: October 2, 2012
  • Published electronically: May 28, 2014
  • Communicated by: Matthew A. Papanikolas
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 3153-3167
  • MSC (2010): Primary 33C20
  • DOI: https://doi.org/10.1090/S0002-9939-2014-12161-7
  • MathSciNet review: 3223372