On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields

Details On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields

2010-11-10

arxiv.org/abs/1011.2257v1

Mathematics

Algebraic Geometry

Scientific paper

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 $\mathbb{F}_q$ where $q=p^n$, $n$ odd.

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