Irregular Hodge filtration of some confluent hypergeometric systems
We determine the irregular Hodge filtration, as introduced by Sabbah, for the purely irregular hypergeometric D-modules. We obtain, in particular, a formula for the irregular Hodge numbers of these systems. We use the reduction of hypergeometric systems from GKZ-systems as well as comparison results...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/106354 |
| Acceso en línea: | https://hdl.handle.net/11441/106354 https://doi.org/10.1017/S1474748019000288 |
| Access Level: | acceso abierto |
| Palabra clave: | D-modules irregular Hodge filtration hypergeometric systems twistor D-modules |
| Sumario: | We determine the irregular Hodge filtration, as introduced by Sabbah, for the purely irregular hypergeometric D-modules. We obtain, in particular, a formula for the irregular Hodge numbers of these systems. We use the reduction of hypergeometric systems from GKZ-systems as well as comparison results to Gauss–Manin systems of Laurent polynomials via Fourier–Laplace and Radon transformations. |
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