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Search results with tag "Abelian varieties"

Complex Multiplication - James Milne

Complex Multiplication - James Milne

www.jmilne.org

Preface The theory of complex multiplication is not only the most beautiful part of mathematics but also of all science. D. Hilbert2 Abelian varieties with complex multiplication3 are special in that they have the largest possible endomorphism rings.

  Complex, Multiplication, Varieties, Ainable, Complex multiplication, Abelian varieties

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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Complex multiplication, Abelian varieties, Introduction, Of ellip-tic curves, Elliptic