The CM Character
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The first main theorem dealt with the reflex field K’ as ground field. We shall now deal with the field of definition k itself as ground field. Then we shall see that k(Ator) is abelian over k, and we shall obtain an abelian character out of the situation. By definition, a character is a continuous homomorphism.
KeywordsZeta Function Characteristic Polynomial Galois Group Abelian Variety Number Field
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