On the structure of the divisor class group of a class of curves over finite fields
type: Item
instance of: scholarly article
title: On the structure of the divisor class group of a class of curves over finite fields
zbMATH Open document ID: 0874.11045
DOI: 10.1007/BF01270693
author: Henning Stichtenoth
author: Chaoping Xing
published in: Archiv der Mathematik
publication date: 1996-10-29T00:00:00Z
review text: Let \(L(t)\) be the numerator of the zeta-function of the curve \(\mathcal C\) over the finite field \(\mathbb{F}_q\). We investigate the group structure of the Jacobian of \(\mathcal C\) in the case that all roots of \(L({t\over\sqrt q})\) are roots of unity.
Mathematics Subject Classification ID: 11G20
Mathematics Subject Classification ID: 11T71
zbMATH DE Number: 800598
zbMATH Keywords: divisor class group
zbMATH Keywords: curve over a finite field
zbMATH Keywords: \(L\)-function
zbMATH Keywords: Frobenius
zbMATH Keywords: Jacobian
MaRDI profile type: Publication
cites work: Q4336968
cites work: Group codes on certain algebraic curves with many rational points
cites work: Q4695252
cites work: Hyperelliptic cryptosystems
cites work: Q4090463
cites work: A characterization of Hermitian function fields over finite fields.
cites work: Die Hasse-Witt-Invariante eines Kongruenzfunktionenkörpers
cites work: Endomorphisms of Abelian varieties over finite fields
cites work: Q3943047
cites work: Abelian varieties over finite fields
description: scientific article; zbMATH DE number 800598