On the Pullback of an Arithmetic Theta Function
نویسندگان
چکیده
In this paper, we consider the relation between the simplest types of arithmetic theta series, those associated to the cycles on the moduli space C of elliptic curves with CM by the ring of integers Ok in an imaginary quadratic field k, on the one hand, and those associated to cycles on the arithmetic surface M parametrizing 2-dimensional abelian varieties with an action of the maximal order OB in an indefinite quaternion algebra B over Q, on the other.
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