The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields
Number Theory
2017-04-03 v1 Algebraic Geometry
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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Cite
@article{arxiv.math/0612263,
title = {The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields},
author = {Bjorn Poonen and Jose Felipe Voloch},
journal= {arXiv preprint arXiv:math/0612263},
year = {2017}
}
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17 pages