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arXiv · 1002.1620

On the 7th order ODE with submaximal symmetry

Maciej Dunajski·Vladimir Sokolov
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Abstract

We find a general solution to the unique 7th order ODE admitting ten dimensional group of contact symmetries. The integral curves of this ODE are rational contact curves in $\PP^3$ which give rise to rational plane curves of degree six. The moduli space of these curves is a real form of the homogeneous space $Sp(4)/SL(2)$.

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Maciej Dunajski, Vladimir Sokolov. 2010-02-08. On the 7th order ODE with submaximal symmetry. https://doi.org/10.1016/j.geomphys.2011.02.021

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