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

Mathematics – Number Theory

Scientific paper

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17 pages

Scientific paper

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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