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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
24 April 2014
|
| In: |
Compositio mathematica
Year: 2014, Volume: 150, Issue: 6, Pages: 911-941 |
| ISSN: | 1570-5846 |
| DOI: | 10.1112/S0010437X13007744 |
| Online Access: | 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 
|
| Author Notes: | Thomas Reichelt |
| Summary: | 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. |
|---|---|
| Item Description: | Gesehen am 14.08.2017 |
| Physical Description: | Online Resource |
| ISSN: | 1570-5846 |
| DOI: | 10.1112/S0010437X13007744 |