Article
Irregular Hodge filtration of some confluent hypergeometric systems
Author/s | Castaño Domínguez, Alberto
![]() ![]() ![]() ![]() ![]() ![]() ![]() Sevenheck, Christian |
Department | Universidad de Sevilla. Departamento de Álgebra |
Publication Date | 2019-05-24 |
Deposit Date | 2021-03-19 |
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Abstract | 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 ... 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. |
Citation | Castaño Domínguez, A. y Sevenheck, C. (2019). Irregular Hodge filtration of some confluent hypergeometric systems. Journal of the Institute of Mathematics of Jussieu, 20 (3), 1-42. |
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