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A note on unlikely intersections in Shimura varieties

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Aslanyan, V. and Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2024) A note on unlikely intersections in Shimura varieties. Journal of Number Theory, 260. pp. 212-222. ISSN 1096-1658 doi: 10.1016/j.jnt.2024.02.015

Abstract/Summary

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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Item Type Article
URI https://centaur.reading.ac.uk/id/eprint/115717
Identification Number/DOI 10.1016/j.jnt.2024.02.015
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher Elsevier
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