Submission date: 16 September 2022

Abstract:

We discuss the relationships between the André-Oort, André-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.

Mathematics Subject Classification:

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Full text arXiv 2209.07967: pdf, ps.