Splitting of Abelian Varieties

DOI10.1093/imrn/rnn033zbMath1152.14043OpenAlexW2043565574MaRDI QIDQ3515955

V. Kumar Murty, Vijay M. Patankar

Publication date: 30 July 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnn033

zbMATH Keywords

simple abelian varietyreduction of an abelian variety

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15) Complex multiplication and abelian varieties (14K22)

Related Items (7)

The square sieve and a Lang-Trotter question for generic abelian varieties ⋮ Exceptional splitting of reductions of abelian surfaces ⋮ A Chabauty-Coleman bound for surfaces ⋮ Explicit bounds for split reductions of simple abelian varieties ⋮ \(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field ⋮ Splitting of abelian varieties ⋮ Overview of the Work of Kumar Murty

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