Two-character sets, Veronese varieties and Grassmannian of lines

IF 1.1 4区数学 Q1 MATHEMATICS

Ricerche di Matematica Pub Date : 2024-04-06 DOI:10.1007/s11587-024-00858-5

A. Cossidente, G. Marino

引用次数: 0

Abstract

We show that, for any q, the pointset covered by the conic planes of a quadric Veronesean of \(\textrm{PG}(3,q)\) is a two character set with respect to hyperplanes of \(\textrm{PG}(9,q)\).

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二字集、维罗纳变种和格拉斯曼线

我们证明了，对于任意 q，\(\textrm{PG}(3,q)\)的二次曲面 Veronesean 的圆锥面所覆盖的点集就是一个关于\(\textrm{PG}(9,q)\)的超平面的双字符集。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Ricerche di Matematica Mathematics-Applied Mathematics

CiteScore

3.00

自引率

8.30%

发文量

期刊介绍： “Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.