Abstract
Given an abelian variety A over a number field and an integer D, we prove that there is only a finite number up to translation of curves on A with degree D with more than D7 dimA rational points. We describe a more general result for higher dimensional varieties on semi-abelian varieties. This extends work of J.-H. Evertse on linear equations.
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Rémond, G. Borne générique pour le problème de Mordell-Lang. manuscripta math. 118, 85–97 (2005). https://doi.org/10.1007/s00229-005-0581-2
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DOI: https://doi.org/10.1007/s00229-005-0581-2