Hypergeometric Hodge modules
We consider mixed Hodge module structures on GKZ hypergeometric differential systems. We show that the Hodge filtration on these D-modules is given by the order filtration, up to a suitable shift. As an application, we prove a conjecture on the existence of non-commutative Hodge structures on the reduc...
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2020
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| In: |
Algebraic geometry
Year: 2020, Jahrgang: 7, Heft: 3, Pages: 263-345 |
| ISSN: | 2313-1691 |
| DOI: | 10.14231/AG-2020-009 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.14231/AG-2020-009
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| Verfasserangaben: | Thomas Reichelt and Christian Sevenheck |
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| 520 | |a We consider mixed Hodge module structures on GKZ hypergeometric differential systems. We show that the Hodge filtration on these D-modules is given by the order filtration, up to a suitable shift. As an application, we prove a conjecture on the existence of non-commutative Hodge structures on the reduced quantum D-module of a nef complete intersection inside a toric variety. | ||
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