The Wirtinger-type integral for a genus two curve

Fuente: arXiv
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Autore principale: Goto, Yoshiaki
Natura: Preprint
Pubblicazione: 2026
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author Goto, Yoshiaki
author_facet Goto, Yoshiaki
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_00577
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Wirtinger-type integral for a genus two curve
Goto, Yoshiaki
Algebraic Geometry
33C99, 14H45, 55N25
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.
title The Wirtinger-type integral for a genus two curve
topic Algebraic Geometry
33C99, 14H45, 55N25
url https://arxiv.org/abs/2603.00577