Mathematics – Number Theory
Scientific paper
2006-12-10
Mathematics
Number Theory
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.
Poonen Bjorn
Voloch Jose Felipe
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