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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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Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
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by M. C. Fernández-Fernández and F. J. Castro-Jiménez PDF
Trans. Amer. Math. Soc. 363 (2011), 923-948 Request permission

Abstract:

We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine monomial curve. We also describe the irregularity complex of such a system with respect to its singular support.
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Additional Information
  • M. C. Fernández-Fernández
  • Affiliation: Faculty of Mathematics, Department of Algebra, University of Sevilla, Seville, Spain
  • Email: mcferfer@us.es
  • F. J. Castro-Jiménez
  • Affiliation: Faculty of Mathematics, Department of Algebra, University of Sevilla, Seville, Spain
  • Email: castro@us.es
  • Received by editor(s): February 26, 2009
  • Received by editor(s) in revised form: May 15, 2009
  • Published electronically: September 29, 2010
  • Additional Notes: The first author was partially supported by MTM2007-64509, FQM333 and by the FPU Grant AP2005-2360, MICINN (Spain)
    The second author was partially supported by MTM2007-64509 and FQM333

  • Dedicated: To Zoghman Mebkhout on the occasion of his 60th birthday
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 363 (2011), 923-948
  • MSC (2000): Primary 32C38; Secondary 13N10, 14M25, 33C70
  • DOI: https://doi.org/10.1090/S0002-9947-2010-05115-3
  • MathSciNet review: 2728590