On the Birch and Swinnerton-Dyer conjecture for abelian varieties attached to Hilbert modular forms

Cristian Virdol

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

In this paper we prove that if the Birch and Swinnerton-Dyer conjecture holds for abelian varieties attached to Hilbert newforms of parallel weight 2 with trivial central character, then the Birch and Swinnerton-Dyer conjecture holds for 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)681-684
Number of pages4
JournalJournal of Number Theory
Volume131
Issue number4
DOIs
Publication statusPublished - 2011 Apr 1

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Hilbert Modular Forms
Abelian Variety
Hilbert
Trivial
Number field
Arbitrary
Character

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Virdol, Cristian. / On the Birch and Swinnerton-Dyer conjecture for abelian varieties attached to Hilbert modular forms. In: Journal of Number Theory. 2011 ; Vol. 131, No. 4. pp. 681-684.
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Virdol, C 2011, 'On the Birch and Swinnerton-Dyer conjecture for abelian varieties attached to Hilbert modular forms', Journal of Number Theory, vol. 131, no. 4, pp. 681-684. https://doi.org/10.1016/j.jnt.2010.11.008

On the Birch and Swinnerton-Dyer conjecture for abelian varieties attached to Hilbert modular forms. / Virdol, Cristian.

In: Journal of Number Theory, Vol. 131, No. 4, 01.04.2011, p. 681-684.

Research output: Contribution to journal › Article

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Virdol C. On the Birch and Swinnerton-Dyer conjecture for abelian varieties attached to Hilbert modular forms. Journal of Number Theory. 2011 Apr 1;131(4):681-684. https://doi.org/10.1016/j.jnt.2010.11.008

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