Some remarks on atypical intersections

DOI10.1090/proc/15611zbMath1480.11076arXiv1905.00827OpenAlexW3157220406MaRDI QIDQ4957655

Vahagn A. Aslanyan

Publication date: 9 September 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00827

zbMATH Keywords

semiabelian varietyAx-Schanuelunlikely intersection\(j\)-functionspecial varietyZilber-Pink

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (2)

A note on unlikely intersections in Shimura varieties ⋮ Adequate predimension inequalities in differential fields

Cites Work

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• Ax-Schanuel for the \(j\)-function
• Bounds in the theory of polynomial rings over fields. A nonstandard approach
• The theory of the exponential differential equations of semiabelian varieties
• The André-Oort conjecture for \(\mathcal A_g\)
• Division points on semi-abelian varieties
• Weak modular Zilber-Pink with derivatives
• Ax-Schanuel for Shimura varieties
• Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
• O-minimality and certain atypical intersections
• Some unlikely intersections beyond André–Oort
• Applications of the hyperbolic Ax–Schanuel conjecture
• EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE
• SPECIAL POINT PROBLEMS WITH ELLIPTIC MODULAR SURFACES
• A Combination of the Conjectures of Mordell-Lang and André-Oort
• Model Theory
• Basic Algebraic Geometry 2
• Anomalous Subvarieties—Structure Theorems and Applications
• The Manin-Mumford conjecture and the model theory of difference fields

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