Torsion bounds for elliptic curves and Drinfeld modules

DOI10.1016/j.jnt.2009.11.009zbMath1227.11072arXiv0810.3147OpenAlexW2041959887MaRDI QIDQ971854

Florian Breuer

Publication date: 17 May 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3147

zbMATH Keywords

elliptic curvesDrinfeld modulesGalois representationstorsion points

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (12)

Pursuing polynomial bounds on torsion ⋮ The growth of the discriminant of the endomorphism ring of the reduction of a rank 2 generic Drinfeld module ⋮ An average Chebotarev density theorem for generic rank 2 Drinfeld modules with complex multiplication ⋮ The least degree of a CM point on a modular curve ⋮ Primes, elliptic curves and cyclic groups ⋮ Torsion points and isogenies on CM elliptic curves ⋮ Anatomy of torsion in the CM case ⋮ A combinatorial Li-Yau inequality and rational points on curves ⋮ Degree bounds for projective division fields associated to elliptic modules with a trivial endomorphism ring ⋮ The truth about torsion in the CM case ⋮ Torsion points and Galois representations on CM elliptic curves ⋮ Points de torsion sur les variétés abéliennes de type GSp

Cites Work

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• The Lehmer inequality and the Mordell-Weil theorem for Drinfeld modules
• Adelic openness for Drinfeld modules in generic characteristic
• Modular curves and the Eisenstein ideal
• Torsion in rank 1 Drinfeld modules and the uniform boundedness conjecture
• Torsion points on elliptic curves and \(q\)-coefficients of modular forms
• Bounds for the torsion of elliptic curves over number fields
• Galois properties of points of finite order of elliptic curves
• Counting points of small height on elliptic curves
• Borne sur la torsion dans les variétés abéliennes de type CM
• Local Bounds for Torsion Points on Abelian Varieties
• On the torsion of Drinfeld modules of rank two
• Sur le nombre de points de torsion rationnels sur une courbe elliptique
• Torsion of Drinfeld modules and gonality

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