English

Studies on the Garnier system in two variables

Algebraic Geometry 2007-05-23 v1

Abstract

We study some Hamiltonian structures of the Garnier system in two variables from the viewpoints of its symmetry and holomorphy properties. We also give a generalization of {\it Okamoto transformation \it}of the sixth Painlev\'e system.

Cite

@article{arxiv.0704.2869,
  title  = {Studies on the Garnier system in two variables},
  author = {Yusuke Sasano},
  journal= {arXiv preprint arXiv:0704.2869},
  year   = {2007}
}
R2 v1 2026-06-21T08:20:54.640Z