Open Access
December 2014 Classification of characteristic polynomials of simple supersingular abelian varieties over finite fields
Gary McGuire, Vijaykumar Singh, Alexey Zaytsev
Funct. Approx. Comment. Math. 51(2): 415-436 (December 2014). DOI: 10.7169/facm/2014.51.2.11

Abstract

In this article, we give a complete description of the characteristic polynomials of simple supersingular abelian varieties over finite fields. We list them for the dimensions up to $7$

Citation

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Gary McGuire. Vijaykumar Singh. Alexey Zaytsev. "Classification of characteristic polynomials of simple supersingular abelian varieties over finite fields." Funct. Approx. Comment. Math. 51 (2) 415 - 436, December 2014. https://doi.org/10.7169/facm/2014.51.2.11

Information

Published: December 2014
First available in Project Euclid: 26 November 2014

zbMATH: 1304.14025
MathSciNet: MR3282636
Digital Object Identifier: 10.7169/facm/2014.51.2.11

Subjects:
Primary: 14G15
Secondary: 11C08 , 11G10 , 11G25

Keywords: abelian varieties over finite fields , Weil polynomials

Rights: Copyright © 2014 Adam Mickiewicz University

Vol.51 • No. 2 • December 2014
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