About the mixed André-Oort conjecture: reduction to a lower bound for the pure case

DOI10.1016/j.crma.2016.01.024zbMath1356.11036OpenAlexW2399730893WikidataQ123023209 ScholiaQ123023209MaRDI QIDQ292511

Ziyang Gao

Publication date: 8 June 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.01.024

zbMATH Keywords

Galois orbitsmixed André-Oort conjecturepure Shimura varietiesspecial points

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Results involving abelian varieties (11J95)

Related Items

Heights of pre-special points of Shimura varieties, Tameness in geometry and arithmetic: beyond o-minimality, The Ax-Schanuel conjecture for variations of mixed Hodge structures, Lower bounds for Galois orbits of special points on Shimura varieties: a point-counting approach, ENLARGED MIXED SHIMURA VARIETIES, BI-ALGEBRAIC SYSTEM AND SOME AX TYPE TRANSCENDENTAL RESULTS, Applications of the hyperbolic Ax–Schanuel conjecture

Cites Work

• Unnamed Item
• The hyperbolic Ax-Lindemann-Weierstraß conjecture
• Degrees of strongly special subvarieties and the André-Oort conjecture
• Galois orbits and equidistribution of special subvarieties: towards the André-Oort conjecture
• The André-Oort conjecture
• \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\)
• Rational points in periodic analytic sets and the Manin-Mumford conjecture
• Ax-Lindemann for \(\mathcal{A}_g\)
• Applications du théorème d’Ax–Lindemann hyperbolique
• Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
• Special points on the product of two modular curves
• The André–Oort conjecture for the moduli space of abelian surfaces
• 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