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On QM-abelian surfaces with model of -type over

โœ Scribed by Naoki Murabayashi


Book ID
104024495
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
574 KB
Volume
112
Category
Article
ISSN
0022-314X

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โœฆ Synopsis


The purpose of this paper is to characterize QM-abelian surfaces which has a model of GL 2 -type over Q. The "special" involutions on a corresponding indefinite quaternion algebra (which is defined in Section 2) play an essential role in this paper.


๐Ÿ“œ SIMILAR VOLUMES


A Remark on the Modularity of Abelian Va
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.