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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve


Authors: M. C. Fernández-Fernández and F. J. Castro-Jiménez
Journal: Trans. Amer. Math. Soc. 363 (2011), 923-948
MSC (2000): Primary 32C38; Secondary 13N10, 14M25, 33C70
Published electronically: September 29, 2010
MathSciNet review: 2728590
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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

DOI: http://dx.doi.org/10.1090/S0002-9947-2010-05115-3
PII: S 0002-9947(2010)05115-3
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
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.