Let $p$ be a prime. Suppose you have an Abelian scheme $A$ over $Spec\ \mathbb{Z}_p$. How do you prove that if $q$ is another prime, then the $q$-torsion of $A$ injects into the torsion of $A_p$, under the reduction map?
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replaced tag "abelian-schemes" with "Neron models" -- the current set of tags seems more descriptive
Pete L. Clark
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Torsion of an abelian variety under reduction.
Anweshi
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