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Abelian Varieties - James Milne

Abelian Varieties - James Milne

www.jmilne.org

Introduction The easiest way to understand abelian varieties is as higher-dimensional analogues of ellip-tic curves. Thus we first look at the various definitions of an elliptic curve. Fix a ground field kwhich, for simplicity, we take to be algebraically closed. An elliptic curve over k can be defined, according to taste, as:

  Introduction, Curves, Varieties, Elliptic, Ainable, Abelian varieties, Of ellip tic curves, Ellip

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