Short note shows Galois orbits equidistribute on Shimura curves, indicating a new André–Oort result.
In this short note we show that Galois orbits of CM points equidistribute on a product of r 2 r ⩾ 2 non-isomorphic Shimura curves by applying the adelic toral-packet equidistribution theorem of Aka–Luethi–Michel–Wieser. As a consequence, we deduce André–Oort for the product of those curves, previously studied by Edixhoven and Yafaev, replacing GRH by a Linnik-type splitting condition at two auxiliary primes.
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Francesco Maria Saettone (2026) studied this question.
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