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

Alexey Zatysev; Gary McGuire; Vijaykumar Singh

arxiv: 1005.3635 · v2 · pith:IUK7OQSLnew · submitted 2010-05-20 · 🧮 math.AG

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

Vijaykumar Singh , Alexey Zatysev , Gary McGuire This is my paper

classification 🧮 math.AG

keywords abeliancharacteristicdimensionfrobeniussupersingularvarietiesarticlederive

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

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

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