The characteristic polynomials of abelian varieties of dimensions three and four over finite fields
type: Item
instance of: scholarly article
title: The characteristic polynomials of abelian varieties of dimensions three and four over finite fields
zbMATH Open document ID: 0811.14041
published in: Science in China. Series A
publication date: 1995-05-02T00:00:00Z
review text: Let \(\mathbb{F}_ q\) be a finite field and let \(A\) be an abelian variety over \(\mathbb{F}_ q\) with Frobenius endomorphism \(\pi_ a\). The characteristic polynomial \(f_ A(t)\) of \(\pi_ a\) is a polynomial of degree \(2\cdot\dim A\) with integer coefficients. The author determines all the possible \(f_ A(t)\) of degree 6 and 8 for fixed \(\mathbb{F}_ q\).
Mathematics Subject Classification ID: 14K15
Mathematics Subject Classification ID: 14G15
Mathematics Subject Classification ID: 11G25
zbMATH DE Number: 589835
zbMATH Keywords: abelian variety over finite field
zbMATH Keywords: characteristic polynomial of Frobenius endomorphism
author: Chaoping Xing
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 589835