The maximal number of skew lines on Schur's quartic

被引：0
|
作者：
Rojas, Jacqueline [1 ]
Lira, Dayane [1 ]
机构：
[1] Univ Fed Paraiba, Dept Matemat, Cidade Univ, BR-58051900 Joao Pessoa, Paraiba, Brazil
来源：
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2019年 / 142卷
关键词：
Schur's quartic; skew lines; SURFACES;
D O I：
10.4171/RSMUP/31
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Since 1882 it is known that the so-called Schur's quartic contains exactly 64 lines. However, it has not yet been established what is the maximum number of pairwise disjoint lines that it can have. The aim of our work is to show in an elementary and self-contained way that the maximum number of pairwise disjoint lines in Schur's quartic is 16 (without using Nikulins's theorem or Miyaoka's upper bound).
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页码：81 / 91
页数：11
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