Gevrey and formal Nilsson solutions of A-hypergeometric systems
We prove that the space of Gevrey solutions of an A–hypergeometric system along a coordinate subspace is contained in a space of formal Nilsson solutions. Moreover, under some additional condition, both spaces are equal. In the process we prove some other results about formal Nilsson solutions.
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/139115 |
| Acesso em linha: | https://hdl.handle.net/11441/139115 https://doi.org/10.1016/j.jpaa.2020.106350 |
| Access Level: | acceso abierto |
| Palavra-chave: | A–hypergeometric system D–module Gevrey series Formal Nilsson series Initial ideals |
| Resumo: | We prove that the space of Gevrey solutions of an A–hypergeometric system along a coordinate subspace is contained in a space of formal Nilsson solutions. Moreover, under some additional condition, both spaces are equal. In the process we prove some other results about formal Nilsson solutions. |
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