Riemann-Wirtinger integrals on the product of two one-dimensional complex tori
Algebraic Geometry
2026-03-03 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2603.00564,
title = {Riemann-Wirtinger integrals on the product of two one-dimensional complex tori},
author = {Yoshiaki Goto},
journal= {arXiv preprint arXiv:2603.00564},
year = {2026}
}
Comments
12 pages