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An abelian variety defined over the field $K$ is a smooth connected projective variety equipped with the structure of an algebraic group. The group law is automatically commutative.

An abelian variety of dimension 1 is the same as an elliptic curve.

Knowl status:
  • Review status: reviewed
  • Last edited by Jennifer Paulhus on 2019-04-20 15:14:05
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