Base change and the Birch and Swinnerton-Dyer conjecture
Cristian Virdol
Source: Funct. Approx. Comment. Math. Volume 46, Number 2
(2012), 189-194.
Abstract
In this paper we prove that if the Birch and Swinnerton-Dyer conjecture holds for products of abelian varieties attached to Hilbert newforms of parallel weight 2 with trivial central character, then the Birch and Swinnerton-Dyer conjecture holds for products of abelian varieties attached to Hilbert newforms of parallel weight 2 with trivial central character regarded over arbitrary totally real number fields.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.facm/1340628401
Digital Object Identifier: doi:10.7169/facm/2012.46.2.4
Zentralblatt MATH identifier: 06074838
Mathematical Reviews number (MathSciNet): MR2931665
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