Configurations and invariant Gauss-Manin connections for integrals. II (Q1065203)
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scientific article; zbMATH DE number 3920936
| Language | Label | Description | Also known as |
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| English | Configurations and invariant Gauss-Manin connections for integrals. II |
scientific article; zbMATH DE number 3920936 |
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Configurations and invariant Gauss-Manin connections for integrals. II (English)
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1983
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In this note, by using certain canonical invariant 1-forms, we shall compute explicitly the formulae of Gauss-Manin connections for the integrals which have been investigated in part I of this paper [Tokyo J. Math. 5, 249-287 (1982; Zbl 0524.32005)] and prove Theorem 2 of the paper of \textit{K. Aomoto} in Proc. Jap. Acad., Ser. A 55, 353-358 (1979; Zbl 0453.14011) in the hyperquadric case (see Theorems 1, 2 and 3). We shall follow the terminologies used in part I of our paper.
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twisted de Rham cohomology
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holonomic systems
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invariant 1-forms
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Gauss- Manin connections
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hyperquadric
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