On the order of the reduction of a point on an abelian variety

DOI10.1007/s00208-004-0548-8zbMath1077.11046OpenAlexW1983127114MaRDI QIDQ706605

Richard Pink

Publication date: 9 February 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/160332

zbMATH Keywords

torsionabelian varietyTate module

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Density theorems (11R45) Arithmetic ground fields for abelian varieties (14K15)

Related Items (12)

On the distribution of rational points on ramified covers of abelian varieties ⋮ On reduction maps and support problem in \(K\)-theory and abelian varieties ⋮ On reduction maps and arithmetic dynamics of Mordell–Weil type groups ⋮ Eventually stable rational functions ⋮ Periods of rational maps modulo primes ⋮ The density of primes dividing a term in the Somos-5 sequence ⋮ Equidistribution and integral points for Drinfeld modules ⋮ Prescribing valuations of the order of a point in the reductions of abelian varieties and tori ⋮ Evidence for the Dynamical Brauer–Manin Criterion ⋮ REDUCTIONS OF POINTS ON ALGEBRAIC GROUPS ⋮ On a Hasse principle for Mordell-Weil groups ⋮ Density of odd order reductions for elliptic curves with a rational point of order 2

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