Galois Representations over Fields of Moduli and Rational Points on Shimura Curves


The purpose of this note is to introduce a method for proving the existence of no rational points on a coarse moduli space X of abelian varieties over a given number field K, in cases where the moduli problem is not fine and points in X(K) may not be represented by an abelian variety (with additional structure) admitting a model over the field K. This is… (More)


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