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The endomorphism field of an abelian variety $A$ over a field $k$ is the minimal extension $L \supset k$ in $\overline{k}$ such that $\End A_L = \End A_{\overline{k}}$. It is a finite Galois extension of $k$.

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• Review status: beta
• Last edited by Bjorn Poonen on 2022-03-26 15:39:09
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