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arXiv · 2209.07967

A note on unlikely intersections in Shimura varieties

Vahagn Aslanyan·Christopher Daw
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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.

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Vahagn Aslanyan, Christopher Daw. 2024-03-11. A note on unlikely intersections in Shimura varieties. https://arxiv.org/abs/2209.07967

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