A note on unlikely intersections in Shimura varieties

DOI10.1016/j.jnt.2024.02.015arXiv2209.07967OpenAlexW4392982861MaRDI QIDQ6131187

Vahagn A. Aslanyan, Christopher Daw

Publication date: 4 April 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.07967

zbMATH Keywords

Shimura varietiesunlikely intersectionsZilber-Pink

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Cites Work

• Lower bounds for Galois orbits of special points on Shimura varieties: a point-counting approach
• Some unlikely intersections beyond André–Oort
• Applications of the hyperbolic Ax–Schanuel conjecture
• SPECIAL POINT PROBLEMS WITH ELLIPTIC MODULAR SURFACES
• Some remarks on atypical intersections
• Unlikely Intersections with ExCM curves in A2
• Quantitative Reduction Theory and Unlikely Intersections
• Point-Counting and the Zilber–Pink Conjecture
• Basic Algebraic Geometry 1
• A Note on Holomorphic Imbeddings and Compactification of Symmetric Domains
• Lattices with skew-Hermitian forms over division algebras and unlikely intersections

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