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...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2020
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| In: |
Algebraic geometry
Year: 2020, Volume: 7, Issue: 3, Pages: 263-345 |
| ISSN: | 2313-1691 |
| DOI: | 10.14231/AG-2020-009 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.14231/AG-2020-009
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| Author Notes: | Thomas Reichelt and Christian Sevenheck |
| Summary: | 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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| Item Description: | Gesehen am 16.04.2021 |
| Physical Description: | Online Resource |
| ISSN: | 2313-1691 |
| DOI: | 10.14231/AG-2020-009 |