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

By Bjorn Poonen, José Felipe Voloch. 2006

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

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