Base change and the birch and swinnerton-dyer conjecture

Cristian Virdol

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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.

Original languageEnglish
Pages (from-to)189-194
Number of pages6
JournalFunctiones et Approximatio, Commentarii Mathematici
Volume46
Issue number2
DOIs
Publication statusPublished - 2012 Jan 1

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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