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Power residues on Abelian varieties

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Publication:1575062
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DOI10.1007/s002290050008zbMath1025.11019OpenAlexW1998148637MaRDI QIDQ1575062

Siman Wong

Publication date: 12 May 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050008


zbMATH Keywords

abelian variety\(n\)-power residue problem


Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10)


Related Items (8)

The Hasse principle for finite Galois modules allowing exceptional sets of positive density ⋮ Elliptic curves with \(\mathbb Q({\mathcal E}[3)=\mathbb Q(\zeta_3)\) and counterexamples to local-global divisibility by 9] ⋮ The support problem for abelian varieties. ⋮ On 7-division fields of CM elliptic curves ⋮ An analogue for elliptic curves of the Grunwald--Wang example. ⋮ Divisibility questions in commutative algebraic groups ⋮ Local-global divisibility by 4 in elliptic curves defined over \(\mathbb Q\) ⋮ Local-global questions for divisibility in commutative algebraic groups




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