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arXiv · 0808.2893

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

Yusuke Sasano
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Abstract

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 Painlevé 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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Yusuke Sasano. 2009-11-10. Ordinary differential system in dinension six with affine Weyl group symmetry of type $D_4^{(2)}$. https://arxiv.org/abs/0808.2893

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