Duke Mathematical Journal

Effective Chabauty

Robert F. Coleman

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Article information

Duke Math. J., Volume 52, Number 3 (1985), 765-770.

First available in Project Euclid: 20 February 2004

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11G30: Curves of arbitrary genus or genus = 1 over global fields [See also 14H25]
Secondary: 14G25: Global ground fields 14K15: Arithmetic ground fields [See also 11Dxx, 11Fxx, 11G10, 14Gxx]


Coleman, Robert F. Effective Chabauty. Duke Math. J. 52 (1985), no. 3, 765--770. doi:10.1215/S0012-7094-85-05240-8. https://projecteuclid.org/euclid.dmj/1077304592

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  • [Ca] J. W. S. Cassels, The Mordell-Weil group of curves of genus $2$, Arithmetic and geometry, Vol. I, Progr. Math., vol. 35, Birkhäuser Boston, Mass., 1983, pp. 27–60.
  • [Ch] C Chabauty, Sur les points rationnels des courbes algébriques de genre supérieur à l'unité, C. R. Acad. Sci. Paris 212 (1941), 882–885.
  • [Co] R. Coleman, Torsion points on curves and $p$-adic abelian integrals, Ann. of Math. (2) 121 (1985), no. 1, 111–168.