ON SETS OF CLASS [1, q

被引：6

作者：

Innamorati, Stefano ^{[1
]}

Zuanni, Fulvio ^{[1
]}

机构：

[1] Univ Aquila, Dept Ind & Informat Engn & Econ, Via G Gronchi 18, I-67100 Laquila, Italy

来源：

ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI | 2018年 / 96卷

关键词：

D O I：

10.1478/AAPP.96S2A6

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this note we prove that a set of class [1, q + 1, 2q + 1](2) in PG(3, q) is either a line, or an ovoid, or a (q(2) + q+1)-set of type (1, q + 1, 2q + 1)(2) or a (q + 1)(2)-set of type (q + 1, 2q + 1)(2), or a unique, up to projective equivalence, sporadic 19-set of type (1, 4, 7) in PG(3, 3).

引用

页码：A61 / A65

页数：5

共 9 条

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[5] In AG(3,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${AG(3,q)}$$\end{document} any q2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${q^2}$$\end{document}-set of class [0,m,n]2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${[0,m,n]_2}$$\end{document} containing a line is a cylinder
Stefano Innamorati
Fulvio Zuanni
[J]. Journal of Geometry, 2017, 108 (2) : 457 - 462
[6] In AG(3, q) any q2-set of class [1, m, n]2 is a cap
Innamorati, Stefano
Zuanni, Fulvio
[J]. DISCRETE MATHEMATICS, 2015, 338 (06) : 863 - 865
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