On a conjecture of Buium and Poonen

DOI10.5802/aif.3317zbMath1450.11059arXiv1803.04946OpenAlexW3030217644WikidataQ123117538 ScholiaQ123117538MaRDI QIDQ2188219

Gregorio Baldi

Publication date: 10 June 2020

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04946

zbMATH Keywords

Shimura curvemodular curveisogeny classesunlikely intersections and Zilber-Pink conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (3)

Independence of CM points in elliptic curves ⋮ Unlikely intersections between isogeny orbits and curves ⋮ Unlikely intersections with isogeny orbits in a product of elliptic schemes

Cites Work

• Galois-generic points on Shimura varieties
• Families of abelian varieties with many isogenous fibres
• \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\)
• Polarization and isogenies
• Rational points in periodic analytic sets and the Manin-Mumford conjecture
• Independence of points on elliptic curves arising from special points on modular and Shimura curves. I: Global results
• Hyperbolic distribution problems and half-integral weight Maass forms
• Mordell-Lang plus Bogomolov
• Integral models of certain Shimura curves
• Distribution of almost division points
• The André-Oort conjecture for \(\mathcal A_g\)
• Algebraic flows on Shimura varieties
• Isogeny estimates for abelian varieties, and finiteness theorems
• Unlikely intersections between isogeny orbits and curves
• Galois properties of points of finite order of elliptic curves
• A Combination of the Conjectures of Mordell-Lang and André-Oort
• Ergodic theoretic proof of equidistribution of Hecke points
• A special point problem of André-Pink-Zannier in the universal family of abelian varieties
• Travaux de Shimura
• Hecke operators and equidistribution of Hecke points
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