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

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Patricia E. Rao,Daniel J. Kroonto the case when the automorphism σ does not leave the reflex field fixed. Tate obtains a commutative diagram just as before, up to an idele of square 1, thus leaving the conjecture that this idele can in fact be taken to be 1. This conjecture is equivalent to an important special case of a conjectu

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Determination of periodic orbits,The first main theorem dealt with the reflex field K’ as ground field. We shall now deal with the field of definition . itself as ground field. Then we shall see that k(A.) is abelian over k, and we shall obtain an abelian character out of the situation. By definition, a . is a continuous homomorphism.

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Determination of periodic orbits,This chapter deals with the analysis of fields of definition for the various structures we have encountered.

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Fields of Moduli, Kummer Varieties, and Descents,This chapter deals with the analysis of fields of definition for the various structures we have encountered.

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The Type Norm,In Chapter 4, Theorem 2.8, we reduced the study of certain subgroups of finite index in Galois groups of torsion points to the image of the type norm ..

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978-1-4612-5487-4Springer-Verlag New York Inc. 1983

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