Fibrations and Tate conjecture.

DOI10.1016/j.jnt.2004.05.016zbMath1082.11044arXivmath/0311417OpenAlexW1999664640WikidataQ123205002 ScholiaQ123205002MaRDI QIDQ557569

Rania Wazir, Marc Hindry, Amílcar Pacheco

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0311417

zbMATH Keywords

Mordell-Weil groupL-functionTate conjecturePicard varietyBirch--Swinnerton-Dyer conjectureFunction field

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25)

Related Items

Numerical equivalence of \(\mathbb{R} \)-divisors and Shioda-Tate formula for arithmetic varieties ⋮ Picard number of the generic fiber of an abelian fibered hyperkähler manifold ⋮ On Mordell-Weil groups of isotrivial abelian varieties over function fields ⋮ Lower bounds for the rank of families of abelian varieties under base change ⋮ Analogues of Brauer-Siegel theorem in arithmetic geometry ⋮ The Sato-Tate conjecture and Nagao's conjecture ⋮ On the rank of abelian varieties over function fields

Cites Work

• Finiteness theorems for abelian varieties over number fields.
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