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Torsion in Mordell-Weil groups of Fermat Jacobians
Published online by Cambridge University Press: 04 December 2007
Abstract
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.
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- © 1997 Kluwer Academic Publishers
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