Article ID Journal Published Year Pages File Type
1894916 Journal of Geometry and Physics 2011 5 Pages PDF
Abstract

We find a general solution to the unique 7th order ODE admitting a ten-dimensional group of contact symmetries. The integral curves of this ODE are rational contact curves in P3P3 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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Physical Sciences and Engineering Mathematics Mathematical Physics
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