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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

4 votes

abelian varieties with the same CM type are isogenous

This is true over $\mathbb{C}$, and for any algebraically closed subfield $k$ of $\mathbb{C}$ the functor from CM abelian varieties over $k$ to CM abelian varieties over $\mathbb{C}$ is an equivalence …
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