Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules
We endow certain GKZ-hypergeometric systems with a natural structure of a mixed Hodge module, which is compatible with the mixed Hodge module structure on the Gauß-Manin system of an associated family of Laurent polynomials. As an application we show that the underlying perverse sheaf of a GKZ-syste...
Gespeichert in:
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
24 April 2014
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Compositio mathematica
Year: 2014, Jahrgang: 150, Heft: 6, Pages: 911-941 |
| ISSN: | 1570-5846 |
| DOI: | 10.1112/S0010437X13007744 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1112/S0010437X13007744 Verlag, Volltext: https://www.cambridge.org/core/journals/compositio-mathematica/article/laurent-polynomials-gkzhypergeometric-systems-and-mixed-hodge-modules/1C6741172A57AA224831C0E24EF2C1F2 
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| Verfasserangaben: | Thomas Reichelt |
| Zusammenfassung: | We endow certain GKZ-hypergeometric systems with a natural structure of a mixed Hodge module, which is compatible with the mixed Hodge module structure on the Gauß-Manin system of an associated family of Laurent polynomials. As an application we show that the underlying perverse sheaf of a GKZ-system with rational parameter has quasi-unipotent local monodromy. |
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| Beschreibung: | Gesehen am 14.08.2017 |
| Beschreibung: | Online Resource |
| ISSN: | 1570-5846 |
| DOI: | 10.1112/S0010437X13007744 |