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

2010/05/20 by Singh, Vijaykumar, Zatysev, Alexey, McGuire, Gary
#11G10 #11G25 #14G15 #14H40 #14K15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1005.3635

Abstract

In this article, we derive a list of possible characteristic polynomials of the Frobenius of simple supersingular abelian varieties of dimension 1, 2, 3, 4, 5, 6, 7 over \mathbbF_q where q = pⁿ, n odd.

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