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YCor
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Subquotients of abelian varieties with good reduction

Let $B$ be an abelian variety over a DVR with good reduction, and let $A$ be a subquotient of $B$. Then $A$ has good reduction.

I know a proof of this statement using Neron-Ogg-Shafarevich. Is there a more direct argument (e.g. not mentioning Galois action)?

ybilu
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