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The converse of Abel’s theorem

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References

  1. N. H. Abel, “Solution de quelues problems a l’entegrales d’efines,” Magazin for Naturvidenskaberne, Aargang 1 2 Christyanay Oeures de N.H. Abel 1, 11–27 (1823).

    Google Scholar 

  2. S. Lie, “Bestimmung aller Flächen, die in mehrfacher Weise durch Translationsbewegung einer Kurve erzeugt werden,” Arch. Math. 7(2), 156–176 (1882); 1 (1), 450–467 (1882).

    Google Scholar 

  3. G. Darboux, Theory Surfaces 1, 151–161 (1914).

    Google Scholar 

  4. W. Blaschke and G. Bol, Geometrie der Gewebe (Springer-Verlag, Berlin, 1938).

    Google Scholar 

  5. P.A. Griffiths, Invent. Math. 35, 321–390 (1976).

    Article  MATH  MathSciNet  Google Scholar 

  6. G. M. Henkin, Abel-Radon Transform and Application: The Legacy of Niels Henrik Abel (Springer-Verlag, Berlin, 2004).

    Google Scholar 

  7. J. A. Wood, Duke Math. J. 51(1), 235–237 (1984).

    Article  MATH  MathSciNet  Google Scholar 

  8. M. A. Akivis, Dokl. Akad. Nauk SSSR 272, 1289–1291 (1983).

    MATH  MathSciNet  Google Scholar 

  9. M. Reiss, “Memoire sur les properietes generales des courbes algebriques etc.,” Corresp. Math. et Phys. de Quetelet, No. 9, 249–308 (1837).

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Original Russian Text © V.A. Kisun’ko, 2006, published in Doklady Akademii Nauk, 2006, Vol. 407, No. 4, pp. 443–445.

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Kisun’ko, V.A. The converse of Abel’s theorem. Dokl. Math. 73, 238–240 (2006). https://doi.org/10.1134/S1064562406020232

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  • DOI: https://doi.org/10.1134/S1064562406020232

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