A note on the Tate pairing of curves over finite fields
type: Item
instance of: scholarly article
title: A note on the Tate pairing of curves over finite fields
zbMATH Open document ID: 1051.11030
published in: Archiv der Mathematik
publication date: 2004-09-22T00:00:00Z
review text: The author provides a very short proof of the non-degeneracy of the Tate \(m\)-pairing on the Jacobian of a curve over a finite field in the case where the finite field contains the \(m\)-th roots of unity. The proof is obtained by combining elementary facts about curves with the Chebotarev density theorem for function fields.
reviewed by: Everett W. Howe
Mathematics Subject Classification ID: 11G20
Mathematics Subject Classification ID: 11R58
Mathematics Subject Classification ID: 14H05
Mathematics Subject Classification ID: 14Q05
Mathematics Subject Classification ID: 94A60
zbMATH DE Number: 2101537
zbMATH Keywords: curve
zbMATH Keywords: finite field
zbMATH Keywords: Tate pairing
zbMATH Keywords: Chebotarev density theorem
author: Florian Hess
describes a project that uses: Magma
MaRDI profile type: Publication
full work available at URL: s00013-003-4773-2
OpenAlex ID: W2031424854
DOI: 10.1007/S00013-003-4773-2
description: scientific article; zbMATH DE number 2101537