Abstract
We prove that for a large class of subvarieties of abelian varieties over global function fields, the Brauer-Manin condition on adelic points cuts out exactly the rational points. This result is obtained from more general results concerning the intersection of the adelic points of a subvariety with the adelic closure of the group of rational points of the abelian variety.
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AUTHOR = {Abramovich, Dan and Voloch, Jos{é} Felipe},
TITLE = {Toward a proof of the {M}ordell-{L}ang conjecture in characteristic {$p$}},
JOURNAL = {Internat. Math. Res. Notices},
VOLUME={5},
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YEAR = {1992},
NUMBER = {5},
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ISSN = {1073-7928},
MRCLASS = {11G10 (14K05)},
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FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
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}
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