On the rank of abelian varieties over function fields

DOI10.1007/s00229-005-0597-7zbMath1082.11037arXivmath/0404384OpenAlexW1989911407MaRDI QIDQ2575673

Amílcar Pacheco

Publication date: 6 December 2005

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

Full work available at URL: https://arxiv.org/abs/math/0404384

zbMATH Keywords

function fieldselliptic curverank of abelian variety

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15)

Related Items (1)

Selmer groups of abelian varieties in extensions of function fields

Cites Work

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• Fibrations and Tate conjecture.
• Good reduction of abelian varieties
• Galois properties of points of finite order of elliptic curves
• Cohomology of abelian varieties over function fields
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Néron Models
• ℓ-adic algebraic monodromy groups, cocharacters, and the MumfordTate conjecture
• The rank of elliptic surfaces in unramified abelian towers
• Elliptic Curves and Wild Ramification

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