The rank of abelian varieties over infinite Galois extensions

DOI10.1006/jnth.2001.2692zbMath1001.11025OpenAlexW2027181462MaRDI QIDQ5960983

Siman Wong, Michael I. Rosen

Publication date: 22 April 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2692

zbMATH Keywords

abelian varietyMordell-Weil rankJacobian varietycyclic cover of the projective lineidempotent relationinfinite field extension

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Arithmetic ground fields for abelian varieties (14K15) Global ground fields in algebraic geometry (14G25)

Related Items (4)

A remark on the Mordell-Weil rank of elliptic curves over the maximal abelian extension of the rational number field ⋮ On a question of Frey and Jarden about the rank of Abelian varieties ⋮ ON THE RANK OF ABELIAN VARIETIES OVER AMPLE FIELDS ⋮ Cohomology and torsion cycles over the maximal cyclotomic extension

Cites Work

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• Approximation Theory and the Rank of Abelian Varieties Over Large Algebraic Fields
• On extensions of number fields obtained by specializing branched coverings.

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