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The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields

Bjorn Poonen·Jose Felipe Voloch
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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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BibTeXRIS

Bjorn Poonen, Jose Felipe Voloch. 2006-12-10. The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields. https://doi.org/10.4007/annals.2010.171.511

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