Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion

DOI10.1002/mana.201200217zbMath1294.11106arXiv1010.2444OpenAlexW2131602118WikidataQ123132876 ScholiaQ123132876MaRDI QIDQ2852501

Wojciech Gajda, Sara Arias-de-Reyna, Sebastian Petersen

Publication date: 9 October 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2444

zbMATH Keywords

abelian varietyGalois representationHaar measure

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) [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)

Related Items (2)

Rank gain of Jacobians over number field extensions with prescribed Galois groups ⋮ Big monodromy theorem for abelian varieties over finitely generated fields

Cites Work

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• Abelian varieties over large algebraic fields with infinite torsion
• Endomorphisms and torsion of Abelian varieties
• Torsion points of elliptic curves over large algebraic extensions of finitely generated fields
• Maximality of Galois actions for compatible systems
• Big monodromy theorem for abelian varieties over finitely generated fields
• Big symplectic or orthogonal monodromy modulo \(\ell\)
• The rank of abelian varieties over large algebraic fields
• Torsion of Abelian varieties over large algebraic fields
• Finiteness theorems for torsion of abelian varieties over large algebraic fields
• Abelian varieties over cyclic fields
• RANK OF ELLIPTIC CURVES OVER ALMOST SEPARABLY CLOSED FIELDS
• An open-image theorem for a general class of abelian varieties

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