Article
Gevrey solutions of irregular hypergeometric systems in two variables
Author/s | Fernández Fernández, María Cruz
Castro Jiménez, Francisco Jesús |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2011-08-01 |
Deposit Date | 2016-06-08 |
Published in |
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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 plane monomial curve. We also describe the irregularity complex of such a system with ... We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine plane monomial curve. We also describe the irregularity complex of such a system with respect to its singular support and in particular we prove, using elementary methods, that this irregularity complex is a perverse sheaf as assured by a theorem of Z. Mebkhout. |
Funding agencies | Junta de Andalucía |
Project ID. | MTM2007-64509
FQM333 AP2005-2360 |
Citation | Fernández Fernández, M.C. y Castro Jiménez, F.J. (2011). Gevrey solutions of irregular hypergeometric systems in two variables. Journal of Algebra, 339 (1), 320-335. |
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