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Remarks on infinitesimally desarguesian families of curves

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Abstract

Infinitesimally Desarguesian two-parameter families of curves in the plane which are in a sense close to the family of straight lines are discussed. Their properties, examples, and multidimensional generalizations are considered.

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References

  1. V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, Springer-Verlag, New York, 1988.

    Book  Google Scholar 

  2. I. M. Gelfand, S. G. Gindikin, and Z. Ya. Shapiro, “The local problem of integral geometry in the space of curves,” Funkts. Anal. Prilozhen., 13:2 (1979), 11–31; English transl.: Functional Anal. Appl., 13:2 (1979), 87–102.

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  3. J. Bernstein and S. Gindikin, “Notes on integral geometry for manifolds of curves,” Amer. Math. Soc. Transl., 210 (2003), 57–80.

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  4. S. Gindikin, “Reduction of manifolds of rational curves and related problems of differential equations,” Funkts. Anal. Prilozhen., 18:4 (1984), 14–39; English transl.: Functional Anal. Appl., 18:4, 278–298.

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Correspondence to Simon Gindikin.

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__________

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 45, No. 4, pp. 32–39, 2011

Original Russian Text Copyright © by Simon Gindikin

To the memory of Vladimir Arnold

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Gindikin, S. Remarks on infinitesimally desarguesian families of curves. Funct Anal Its Appl 45, 265–270 (2011). https://doi.org/10.1007/s10688-011-0028-3

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  • DOI: https://doi.org/10.1007/s10688-011-0028-3

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