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Invariants related to the endomorphisms of an abelian variety $A$ include its endomorphism ring $\textrm{End}(A)$, its endomorphism algebra $\textrm{End}(A)\otimes\Q$, and its real endomorphism algebra $\textrm{End}(A)\otimes\R$, along with their geometric analogues: the geometric endomorphism ring, geometric endomorphism algebra, and real geometric endomorphism algebra of the base change of $A$ to an algebraic closure of its base field.

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  • Review status: reviewed
  • Last edited by John Cremona on 2020-10-12 04:05:01
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