Finiteness theorems for torsion of abelian varieties over large algebraic fields
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Publication:2717612
DOI10.4064/aa98-1-2zbMath1124.14304OpenAlexW2090032554MaRDI QIDQ2717612
Publication date: 17 June 2001
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/aa98-1-2
Abelian varieties of dimension (> 1) (11G10) Other nonalgebraically closed ground fields in algebraic geometry (14G27) Arithmetic ground fields for abelian varieties (14K15)
Related Items (9)
On the number of elliptic curves with CM over large algebraic fields ⋮ Kummer-faithful fields which are not sub-\(p\)-adic ⋮ Abelian varieties over large algebraic fields with infinite torsion ⋮ The section conjecture over large algebraic extensions of finitely generated fields ⋮ TORSION OF ABELIAN VARIETIES OVER LARGE ALGEBRAIC EXTENSIONS OF ⋮ ON THE RANK OF ABELIAN VARIETIES OVER AMPLE FIELDS ⋮ Torsion points of Drinfeld modules over large algebraic extensions of finitely generated function fields ⋮ Torsion of Abelian varieties over large algebraic fields ⋮ Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion
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