Rational points of Jacobian varieties in pro-\(\ell\) towers of function fields

DOI10.1016/j.jnt.2013.04.005zbMath1297.11059OpenAlexW2149532611MaRDI QIDQ740892

Amílcar Pacheco

Publication date: 9 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.04.005

zbMATH Keywords

rational pointsJacobian varietiesMordell-Weil theorem

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Global ground fields in algebraic geometry (14G25)

Cites Work

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• Selmer groups of abelian varieties in extensions of function fields
• Ordinary reduction of K3 surfaces
• Kummer theory for abelian varieties over local fields
• Chow's \(K/k\)-image and \(K/k\)-trace, and the Lang-Néron theorem
• Borne sur la torsion dans les variétés abéliennes de type CM
• ℓ-adic algebraic monodromy groups, cocharacters, and the MumfordTate conjecture
• Selmer groups and Mordell–Weil groups of elliptic curves over towers of function fields

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