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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.00564 |
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| _version_ | 1866908858515980288 |
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| author | Goto, Yoshiaki |
| author_facet | Goto, Yoshiaki |
| contents | The Riemann-Wirtinger integral is an analogue of the hypergeometric integral defined on a one-dimensional complex torus. As a generalization, we define the Riemann-Wirtinger integral on the product of two one-dimensional complex tori. We study the structure of the twisted cohomology group associated with the Riemann-Wirtinger integral and derive a system of differential equations satisfied by this integral. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00564 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Riemann-Wirtinger integrals on the product of two one-dimensional complex tori Goto, Yoshiaki Algebraic Geometry Classical Analysis and ODEs 33C99, 14K25, 55N25 The Riemann-Wirtinger integral is an analogue of the hypergeometric integral defined on a one-dimensional complex torus. As a generalization, we define the Riemann-Wirtinger integral on the product of two one-dimensional complex tori. We study the structure of the twisted cohomology group associated with the Riemann-Wirtinger integral and derive a system of differential equations satisfied by this integral. |
| title | Riemann-Wirtinger integrals on the product of two one-dimensional complex tori |
| topic | Algebraic Geometry Classical Analysis and ODEs 33C99, 14K25, 55N25 |
| url | https://arxiv.org/abs/2603.00564 |