Zeta-functions of curves of genus 3 over finite fields
type: Item
instance of: scholarly article
title: Zeta-functions of curves of genus 3 over finite fields
zbMATH Open document ID: 1223.11077
author: Juan-Miguel Gracia
publication date: 2011-03-02T00:00:00Z
review text: The authors show that given three elliptic curves over a finite field satisfying certain conditions, their product is isogenous to the Jacobian of a curve of genus \(3\). As a consequence, there exists a maximal curve of genus \(3\) over the finite field \({\mathbb F}_{49}\).
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 11G20
Mathematics Subject Classification ID: 14G10
Mathematics Subject Classification ID: 14G15
Mathematics Subject Classification ID: 94A60
zbMATH DE Number: 5859396
zbMATH Keywords: elliptic curves
zbMATH Keywords: zeta-functions
zbMATH Keywords: Jacobian varieties
zbMATH Keywords: maximal curves
describes a project that uses: manYPoints
MaRDI profile type: Publication
full work available at URL: s10114-010-7476-1
OpenAlex ID: W2070441579
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DOI: 10.1007/S10114-010-7476-1
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published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 5859396