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Rational points of algebraic curves

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Abstract

It is proved that the number of k-points of certain curves of genus g>1 is finite.

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Literature cited

  1. Yu. I. Manin, “Rational points of algebraic curves over function fields,” Izv. Akad. Nauk SSSR, Ser. Matem.,27, No. 6, 1395–1440 (1963).

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  2. V. A. Dem'yanenko, “On Tate height and the representation of numbers by binary forms,” Izv. Akad. Nauk SSSR, Ser. Matem.,38, No. 3, 459–470 (1974).

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  3. V. A. Dem'yanenko, “Rational points of certain curves of higher genus,” Acta Arith.,12, 333–354 (1967).

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics of the Ukrainian Science Center, Academy of Sciences of the USSR, USSR

    V. A. Dem'yanenko

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  1. V. A. Dem'yanenko
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Translated from Matematicheskie Zametki, Vol. 18, No. 6, pp. 903–908, December, 1975.

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Dem'yanenko, V.A. Rational points of algebraic curves. Mathematical Notes of the Academy of Sciences of the USSR 18, 1124–1126 (1975). https://doi.org/10.1007/BF01099994

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  • DOI: https://doi.org/10.1007/BF01099994

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