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A Remark on the Modularity of Abelian Varieties of GL2-type over Q

✍ Scribed by Naoki Murabayashi

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 128 KB
Volume: 82
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1999.2503

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✦ Synopsis

Let A be an abelian variety of GL 2 -type over the rational number field Q, without complex multiplication. In this paper, we will show that a modularity of A over the complex number field C implies that of A over Q.

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