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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| Format: | article |
| Status: | Published version |
| Publication Date: | 2020 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/139115 |
| Online Access: | https://hdl.handle.net/11441/139115 https://doi.org/10.1016/j.jpaa.2020.106350 |
| Access Level: | Open access |
| Keyword: | A–hypergeometric system D–module Gevrey series Formal Nilsson series Initial ideals |
| Summary: | 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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