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ISSN 1088-6834(e) ISSN 0894-0347(p)

A finiteness property of abelian varieties with potentially ordinary good reduction

Author: Haruzo Hida
Journal: J. Amer. Math. Soc. 25 (2012), 813-826
MSC (2010): Primary 14K02, 11G05, 11G10; Secondary 11F25, 11F33, 11F80
Posted: January 25, 2012
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Abstract: For a prime , contrary to super-singular cases, we prove that there are only finitely many twist equivalence classes of non-CM $\mathbb{Q}$ -simple abelian varieties of -type with potentially ordinary reduction modulo and good reduction everywhere outside .

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