Abelian Varieties 1

Definition and first properties of Abelian Varieteis (Algebraic Theory).

Waring: There are some mistakes and imprecisions on some definitions and proofs.

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  1. Some corrections:
    1) It is true that a compact complex Lie Group is commutative. (with the homomorphic structure).

    2) An Algebraic variety $latex X$ is complete if for every algebraic variety $latex Y$ over $latex k$ we have $latex X\times_k Y \to Y$ that the projection is a close map.

    3) The map $latex d([n]):T_0X\times T_0X \to T_0X $ is one to one (not necessarily an iso).

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