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On Mordell–Weil groups of Jacobians over function fields
Published online by Cambridge University Press: 15 May 2012
Abstract
We study the arithmetic of abelian varieties over where is an arbitrary field. The main result relates Mordell–Weil groups of certain Jacobians over to homomorphisms of other Jacobians over . Our methods also yield completely explicit points on elliptic curves with unbounded rank over and a new construction of elliptic curves with moderately high rank over .
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- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 12 , Issue 1 , January 2013 , pp. 1 - 29
- Copyright
- Copyright © Cambridge University Press 2013
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