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arXiv · 2603.00564

Riemann-Wirtinger integrals on the product of two one-dimensional complex tori

Yoshiaki Goto
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Abstract

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.

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Yoshiaki Goto. 2026-02-28. Riemann-Wirtinger integrals on the product of two one-dimensional complex tori. https://arxiv.org/abs/2603.00564

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