Gevrey solutions of irregular hypergeometric systems in two variables
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...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/42041 |
| Acceso en línea: | http://hdl.handle.net/11441/42041 https://doi.org/10.1016/j.jalgebra.2011.02.045 |
| Access Level: | acceso abierto |
| Palabra clave: | Weyl algebra Affine monomial curve Toric ideal Hypergeometric system Gevrey series Irregular D-module |
| Sumario: | 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. |
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