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On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields
The Characteristic Polynomial Frobenius Supersingular Abelian
2010/11/15
In this article, we derive the list of the characteristic polynomials of the Frobenius endomorphism of simple supersingular abelian varieties of dimension $1,~2,~3,~4,~5,~6,~7$ over $\mathbb{F}_q$ whe...
A Grunwald-Wang type theorem for abelian varieties
Grunwald-Wang type theorem abelian varieties
2010/12/8
Let A be an abelian variety over a number field k. We show that weak approxima-tion holds in the Weil-Chˆatelet group, H1(k,A), but that it may fail when one restricts to the n-torsion subgroup.