Titlebook: Complex Multiplication; Serge Lang Book 1983 Springer-Verlag New York Inc. 1983 Abelian varieties.Abelian variety.Finite.Komplexe Multipli

interlude

Ejaculate

文字

Analytic Complex Multiplication, admits a Riemann form, and such a projective embedding is obtained by projective coordinates given by theta functions. We shall not need to know anything about such theta functions aside from their existence. An . is a complex torus which admits a Riemann form.

折磨

Georges Bastin,Jean-Michel Coroneader should end up knowing the same basic theorems. Because of my background, I use the terminology of Weil (generic points when needed), and the language of reduction mod . is that of Shimura. I have recalled with proofs some elementary definitions and properties, and without proof some of the more advanced results in this direction.

maculated

饮料

Patricia E. Rao,Daniel J. Kroonre of Langlands concerning the conjugation of Shimura varieties [Lglds]. Tate reformulates the conjecture in terms of a “type transfer”. The first two sections of the chapter give the general algebraic number theory setting for this type transfer, and the final sections give the application to the abelian varieties with complex multiplication.

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frugal

0072-7830 lication in the higher dimensional case, generalizing in a non-trivial way the method of Deuring for elliptic curves, by reduction mod p. Partly through the work of Shimura himself (cf. [Sh 1] [Sh 2], and [Sh 5]), and some others (Serre, Tate, Kubota, Ribet, Deligne etc.) it is possible today to mak