Lines on quartic surfaces

被引：0

作者：

Alex Degtyarev

Ilia Itenberg

Ali Sinan Sertöz

机构：

[1] Bilkent University,Department of Mathematics

[2] Université Pierre et Marie Curie,Institut de Mathématiques de Jussieu–Paris Rive Gauche

[3] Ecole Normale Supérieure,Département de Mathématiques et Applications

来源：

Mathematische Annalen | 2017年 / 368卷

关键词：

Primary 14J28; Secondary 14J27; 14N25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that the maximal number of (real) lines in a (real) nonsingular spatial quartic surface is 64 (respectively, 56). We also give a complete projective classification of all quartics containing more than 52 lines: all such quartics are projectively rigid. Any value not exceeding 52 can appear as the number of lines of an appropriate quartic.

引用

页码：753 / 809

页数：56

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