Let $R$ be a DVR with algebraically closed residue field $k$ and fraction field $K$. Let $f:G\longrightarrow H$ be a morphism of commutative $R$-group schemes. Suppose that $G$ is an abelian scheme over $R$ and that $f_K$ is an embedding. Then, is $f_k$ injective? Is it an embedding?
2026-03-26 07:37:32.1774510652
Specializing group scheme embedding
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