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Anweshi
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Torsion of an abelian variety under reduction.

Suppose you have an Abelian scheme $A$ over $Spec\ Z$. Suppose it has good reduction $A_p$ at a prime $p$. 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?

Anweshi
  • 7.4k
  • 11
  • 75
  • 99