Gauß-Manin systems of families of Laurent polynomials and A-hypergeometric systems
In this note we study families of Gauß-Manin systems arising from Laurent polynomials with parametric coefficients under projection to the parameter space. For suitable matrices of exponent vectors, we exhibit a natural four-term exact sequence for which we then give an interpretation via generalize...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
29 Jan 2019
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| In: |
Communications in algebra
Year: 2019, Volume: 47, Issue: 6, Pages: 2503-2524 |
| ISSN: | 1532-4125 |
| DOI: | 10.1080/00927872.2018.1464171 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1080/00927872.2018.1464171
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| Author Notes: | Thomas Reichelt & Uli Walther |
| Summary: | In this note we study families of Gauß-Manin systems arising from Laurent polynomials with parametric coefficients under projection to the parameter space. For suitable matrices of exponent vectors, we exhibit a natural four-term exact sequence for which we then give an interpretation via generalized A-hypergeometric systems. We determine the extension groups from the parameter sheaf to the middle term of this sequence and show that the four-term sequence does not split. Auxiliary results include the computation of Ext and Tor groups of A-hypergeometric systems against the parameter sheaf. |
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| Item Description: | Gesehen am 05.09.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1532-4125 |
| DOI: | 10.1080/00927872.2018.1464171 |