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Modularity of abelian varieties over Q with bad reduction in one prime only

โœ Scribed by Verhoek, Hendrik

Book ID
121386076
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
494 KB
Volume
133
Category
Article
ISSN
0022-314X

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A Remark on the Modularity of Abelian Va
A Remark on the Modularity of Abelian Varieties of GL2-type over Q
โœ Naoki Murabayashi ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 128 KB

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.