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April, 2017 An example of Schwarz map of reducible Appell's hypergeometric equation $E_2$ in two variables
Keiji MATSUMOTO, Takeshi SASAKI, Tomohide TERASOMA, Masaaki YOSHIDA
J. Math. Soc. Japan 69(2): 563-595 (April, 2017). DOI: 10.2969/jmsj/06920563

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.

Citation

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Keiji MATSUMOTO. Takeshi SASAKI. Tomohide TERASOMA. Masaaki YOSHIDA. "An example of Schwarz map of reducible Appell's hypergeometric equation $E_2$ in two variables." J. Math. Soc. Japan 69 (2) 563 - 595, April, 2017. https://doi.org/10.2969/jmsj/06920563

Information

Published: April, 2017
First available in Project Euclid: 20 April 2017

zbMATH: 1370.33016
MathSciNet: MR3638278
Digital Object Identifier: 10.2969/jmsj/06920563

Subjects:
Primary: 33C65

Keywords: Appell's hypergeometric function , Schwarz map

Rights: Copyright © 2017 Mathematical Society of Japan

Vol.69 • No. 2 • April, 2017
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