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On the 7th order ODE with submaximal symmetry
- Publication Year :
- 2010
-
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 $Sp(4)/SL(2)$.<br />Comment: 6 pages, 2 figures. Final version - to appear in JGP
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1002.1620
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.geomphys.2011.02.021