Unlikely Intersections with ExCM curves in A2

DOI10.2422/2036-2145.202006_014zbMath1483.11122arXiv1902.10483OpenAlexW3046789941MaRDI QIDQ5037193

Christopher Daw, Martin Orr

Publication date: 28 February 2022

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10483

zbMATH Keywords

complex multiplicationZilber-Pink conjectureBaily-Borel compactification

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (5)

A note on unlikely intersections in Shimura varieties ⋮ Lattices with skew-Hermitian forms over division algebras and unlikely intersections ⋮ Correction to: ``Height bounds and the Siegel property ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ A height bound for abelian schemes with real \(\times \mathbb{Q}^2\) multiplication

Cites Work

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• Heights of pre-special points of Shimura varieties
• Effective estimates on integral quadratic forms: Masser's conjecture, generators of orthogonal groups, and bounds in reduction theory
• Arithmetic subgroups of algebraic groups
• Variants of Kazhdan's property for subgroups of semisimple groups
• Finiteness theorems for abelian varieties over number fields.
• Factoring integers with elliptic curves
• Hodge cycles, motives, and Shimura varieties
• Ramanujan duals. II
• Démonstration de la conjecture \(\tau\). (Proof of the \(\tau\)-conjecture.)
• The André-Oort conjecture for \(\mathcal A_g\)
• Isogeny estimates for abelian varieties, and finiteness theorems
• Hodge classes on abelian varieties of low dimension
• Ax-Lindemann for \(\mathcal{A}_g\)
• Height bounds and the Siegel property
• Unlikely intersections with Hecke translates of a special subvariety
• O-minimality and certain atypical intersections
• Some unlikely intersections beyond André–Oort
• Applications of the hyperbolic Ax–Schanuel conjecture
• Lectures on K3 Surfaces
• Néron Models
• The André–Oort conjecture for the moduli space of abelian surfaces
• GALOIS CONJUGATES OF SPECIAL POINTS AND SPECIAL SUBVARIETIES IN SHIMURA VARIETIES
• Algebraic Number Theory
• Nombre de classes des tores de multiplication complexe et bornes inférieures pour les orbites Galoisiennes de points spéciaux
• Brauer-Siegel for arithmetic tori and lower bounds for Galois orbits of special points
• Equidistribution de sous-variétés spéciales II

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