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Representations and factors of restriction of scalars

✍ Scribed by Hoseog Yu

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 228 KB
Volume: 109
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.06.017

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✦ Synopsis

Let L/K be a Galois extension of number fields and let A be an abelian variety defined over K. In this paper we establish the relation between the irreducible characters of the Galois group Gal(L/K) and the simple factors of the restriction of scalars Res L/K (A) of A from L to K. Then we derive some equivalences of Birch and Swinnerton-Dyer conjectures.

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