Let $p$ be a prime. Suppose you have an Abelian scheme $A$ over $Spec\ \mathbb{Z}_p$. Suppose it has good reduction $A_p$. 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?
Torsion of an abelian variety under reduction.
Anweshi
- 7.4k
- 11
- 75
- 99