Non-simple abelian varieties in a family: geometric and analytic approaches

DOI10.1112/jlms/jdp021zbMath1263.11064arXiv0804.2166OpenAlexW2014284281WikidataQ104088907 ScholiaQ104088907MaRDI QIDQ5323904

Christian Elsholtz, Chris Hall, Jordan S. Ellenberg, Emmanuel Kowalski

Publication date: 31 July 2009

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2166

zbMATH Keywords

sieve methodsgeneric fiberHilbert Irreducibility Theoremone-parameter families of Jacobians of curves

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Applications of sieve methods (11N36) Arithmetic ground fields for abelian varieties (14K15)

Related Items (7)

Specialization of Néron-Severi groups in positive characteristic ⋮ Gonality of abstract modular curves in positive characteristic ⋮ Big monodromy theorem for abelian varieties over finitely generated fields ⋮ Expander graphs, gonality, and variation of Galois representations ⋮ Genus of abstract modular curves with level-\(\ell\) structures ⋮ A uniform open image theorem for \(\ell\)-adic representations. I ⋮ Arbitrarily large 2-torsion in Tate–Shafarevich groups of abelian varieties

This page was built for publication: Non-simple abelian varieties in a family: geometric and analytic approaches