Ordinary differential system in dinension six with affine Weyl group symmetry of type $D_4^{(2)}$

Details Ordinary differential system in dinension six with affine Weyl group symmetry of type $D_4^{(2)}$ Ordinary differential system in dinension six with affine Weyl group symmetry of type $D_4^{(2)}$

2008-08-21

arxiv.org/abs/0808.2893v2

Mathematics

Algebraic Geometry

6 pages

Scientific paper

We find a three-parameter family of ordinary differential systems in
dimension six with affine Weyl group symmetry of type $D_4^{(2)}$. This is the
second example which gave higher order Painlev\'e type systems of type
$D_{4}^{(2)}$. We show that we give its symmetry and holomorphy conditions.
These symmetries, holomorphy conditions and invariant divisors are new.

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