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1 results

  • Torsion in Mordell-Weil groups of Fermat Jacobians

  • PAVLOS TZERMIAS
  • Journal:
    Compositio Mathematica / Volume 106 / Issue 1 / March 1997
    Published online by Cambridge University Press:
    04 December 2007, pp. 1-9
    Print publication:
    March 1997
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  • We study the torsion in the Mordell-Weil group of the Jacobian of the Fermat curve of exponent $p$ over the cyclotomic field obtained by adjoining a primitive $p$-th root of 1 to $Q$. We show that for all (except possibly one) proper subfields of this cyclotomic field, the torsion parts of the corresponding Mordell-Weil groups are elementary abelian $p$-groups.