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Mordell-Lang plus Bogomolov II: the division group - MaRDI portal

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Mordell-Lang plus Bogomolov II: the division group

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Publication:6503705

DOI10.1007/S002220050331arXivmath/9808127MaRDI QIDQ6503705

Author name not available (Why is that?)


Abstract: In "Mordell-Lang plus Bogomolov", we formulated a conjecture combining the Mordell-Lang conjecture (now proven) and the Bogomolov conjecture, and proved the Mordellic part when A is almost split (i.e., isogenous to the product of an abelian variety and a torus). Here we prove that the full conjecture would follow from the Bogomolov conjecture and an equidistribution result for general semiabelian varieties. These assumptions have been proved when A is almost split, so the conjecture is completely proven in that case.





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