English

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

Algebraic Geometry 2015-03-27 v1

Abstract

We study an Appell hypergeometric system E2E_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 11-dimensional family of curves of genus 2.

Keywords

Cite

@article{arxiv.1503.07623,
  title  = {An example of Schwarz map of reducible hypergeometric equation $E_2$ in two variables},
  author = {Keiji Matsumoto and Takeshi Sasaki and Tomohide Terasoma and Masaaki Yoshida},
  journal= {arXiv preprint arXiv:1503.07623},
  year   = {2015}
}

Comments

29 pages, 3 figures