The Wirtinger-type integral for a genus two curve
Algebraic Geometry
2026-03-03 v1
Abstract
The Wirtinger integral is one of the integral representations of the Gauss hypergeometric function. Its integrand can be regarded as a multivalued function on an elliptic curve. In this paper, we study an analogue of the Wirtinger integral on a hyperelliptic curve of genus two, introduced by Mizutani and Watanabe. We investigate the associated twisted homology and cohomology groups using the hyperelliptic involution and intersection forms.
Keywords
Cite
@article{arxiv.2603.00577,
title = {The Wirtinger-type integral for a genus two curve},
author = {Yoshiaki Goto},
journal= {arXiv preprint arXiv:2603.00577},
year = {2026}
}
Comments
11 pages, 1 figure