An example of Schwarz map of reducible Appell's hypergeometric equation <i>E</i>₂ in two variables

• Matsumoto Keiji

  Department of Mathematics, Hokkaido University

• Sasaki Takeshi

  Kobe University

• Terasoma Tomohide

  Graduate School of Mathematical Sciences, The University of Tokyo

• Yoshida Masaaki

  Kyushu University

Bibliographic Information

Other Title

• An example of Schwarz map of reducible Appell's hypergeometric equation E₂ in two variables

Abstract

We study an Appell hypergeometric system E₂ 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.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 69 (2), 563-595, 2017

  The Mathematical Society of Japan

Keywords

• Appell's hypergeometric function
• Schwarz map

Details

• CRID: 1390282680091940608
• NII Article ID: 130006887131
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/06920563
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL BIB ID: 028132476
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I028132476
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed