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
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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.References
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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 - © 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
Dedicated: To Zoghman Mebkhout on the occasion of his 60th birthday