Envelopes of \(k\)-arcs in projective planes over finite fields and Gröbner bases
type: Item
instance of: scholarly article
title: Envelopes of \(k\)-arcs in projective planes over finite fields and Gröbner bases
zbMATH Open document ID: 0939.51016
DOI: 10.1007/BF02844388
author: Massimo Giulietti
publication date: 2000-07-05T00:00:00Z
review text: This paper is a rich source of results concerning a method to calculate equations of algebraic envelopes associated to a \(k\)-arc in \(PG(2,q)\). It is based on Gröbner bases of ideals in \(GF(q) [x_0,x_1,x_2]\). This method is then applied to the complete 24-arc in \(PG(2,29)\) by \textit{J. M. Chao} and \textit{H. Kaneta} [Rend. Mat. Appl., VII. Ser. 16, No. 4, 537-544 (1996; Zbl 0879.51005)]. The details are too involved to be described here.
reviewed by: Giorgio Faina
Mathematics Subject Classification ID: 51E21
zbMATH DE Number: 1279160
zbMATH Keywords: envelopes of arcs
zbMATH Keywords: projective planes over finite fields
zbMATH Keywords: Gröbner bases
MaRDI profile type: Publication
cites work: Q4337573
cites work: Q5690494
cites work: Q3851217
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 1279160