Studies on the Garnier system in two variables

Details Studies on the Garnier system in two variables Studies on the Garnier system in two variables

2007-04-22

arxiv.org/abs/0704.2869v1

Mathematics

Algebraic Geometry

31 pages, 8 figures

Scientific paper

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.

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