Split reductions of simple abelian varieties

DOI10.4310/MRL.2009.V16.N2.A1zbMath1180.14046arXiv0806.4421MaRDI QIDQ843036

Jeffrey D. Achter

Publication date: 29 September 2009

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.4421

zbMATH Keywords

a totally imaginary fielda totally real fieldan absolutely simple abelian varieties over number fieldindefinite quaternion algebra over a totally real field

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Complex multiplication and moduli of abelian varieties (11G15) Isogeny (14K02) Cyclotomic extensions (11R18) Varieties over finite and local fields (11G25)

Related Items (4)

The square sieve and a Lang-Trotter question for generic abelian varieties ⋮ Computing the geometric endomorphism ring of a genus-2 Jacobian ⋮ Finite descent obstruction for curves over function fields ⋮ Explicit bounds for split reductions of simple abelian varieties

This page was built for publication: Split reductions of simple abelian varieties