Periods and minimal abelian subvarieties

DOI10.2307/2946542zbMath0796.11023OpenAlexW2320628836WikidataQ59319359 ScholiaQ59319359MaRDI QIDQ2366460

Gisbert Wüstholz, David W. Masser

Publication date: 29 June 1993

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2946542

zbMATH Keywords

abelian varietyabelian subvarietyFaltings heightanalytic subgroup theorem

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15) Transcendence theory of elliptic and abelian functions (11J89)

Related Items (24)

Theta height and Faltings height ⋮ Explicit surjectivity of Galois representations for abelian surfaces and \(\operatorname{GL}_{2}\)-varieties ⋮ An explicit open image theorem for products of elliptic curves ⋮ Factorization estimates for Abelian varieties ⋮ Minimal heights and polarizations on group varieties ⋮ Torsion points on isogenous abelian varieties ⋮ An effective matrix lemma ⋮ An effective Arakelov-theoretic version of the hyperbolic isogeny theorem ⋮ Separation of periods of quartic surfaces ⋮ Effective computation of Picard groups and Brauer-Manin obstructions of degree two \(K3\) surfaces over number fields ⋮ Minorations de formes linéaires de logarithmes elliptiques ⋮ Density of points and lower bound for the height ⋮ Logarithmes des points rationnels des variétés abéliennes ⋮ Linear forms in elliptic logarithms ⋮ Slopes and abelian subvariety theorem ⋮ Unlikely intersections between isogeny orbits and curves ⋮ Specialization of endomorphism rings of abelian varieties ⋮ Point counting for foliations over number fields ⋮ An addendum to the elliptic torsion anomalous conjecture in codimension 2 ⋮ Explicit height bounds for \(K\)-rational points on transverse curves in powers of elliptic curves ⋮ Formes linéaires de logarithmes effectives sur les variétés abéliennes ⋮ On the explicit Torsion Anomalous Conjecture ⋮ Measures of simultaneous approximation for quasi-periods of Abelian varieties ⋮ Endomorphism estimates for abelian varieties

This page was built for publication: Periods and minimal abelian subvarieties