Journal of the Mathematical Society of Japan

An example of Schwarz map of reducible Appell's hypergeometric equation $E_2$ in two variables

Keiji MATSUMOTO, Takeshi SASAKI, Tomohide TERASOMA, and Masaaki YOSHIDA

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Abstract

We study an Appell hypergeometric system $E_2$ of rank four which is reducible, and show that its Schwarz map admits geometric interpretations: the map can be considered as the universal Abel–Jacobi map of a 1-parameter family of curves of genus 2.

Article information

Source
J. Math. Soc. Japan Volume 69, Number 2 (2017), 563-595.

Dates
First available in Project Euclid: 20 April 2017

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1492653640

Digital Object Identifier
doi:10.2969/jmsj/06920563

Subjects
Primary: 33C65: Appell, Horn and Lauricella functions

Keywords
Appell's hypergeometric function Schwarz map

Citation

MATSUMOTO, Keiji; SASAKI, Takeshi; TERASOMA, Tomohide; YOSHIDA, Masaaki. An example of Schwarz map of reducible Appell's hypergeometric equation $E_2$ in two variables. J. Math. Soc. Japan 69 (2017), no. 2, 563--595. doi:10.2969/jmsj/06920563. https://projecteuclid.org/euclid.jmsj/1492653640


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