A note on unlikely intersections in Shimura varieties

Published 16 Sep 2022 in math.NT and math.LO | (2209.07967v3)

Abstract: We discuss the relationships between the Andr\'e-Oort, Andr\'e-Pink-Zannier, and Mordell-Lang conjectures for Shimura varieties. We then combine the latter with the geometric Zilber-Pink conjecture to obtain some new results on unlikely intersections in Shimura varieties.

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