On a smooth quartic surface containing 56 lines which is isomorphic as a K3 surface to the Fermat quartic

被引：11

作者：

Shimada, Ichiro ^{[1
]}

Shioda, Tetsuji ^{[2
]}

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, 1-3-1 Kagamiyama, Higashihiroshima 7398526, Japan

[2] Rikkyo Univ, Dept Math, Toshima Ku, 3-34-1 Nishi Ikebukuro, Tokyo 1718501, Japan

来源：

MANUSCRIPTA MATHEMATICA | 2017年 / 153卷 / 1-2期

关键词：

PROJECTIVE MODELS;

D O I：

10.1007/s00229-016-0886-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a defining equation of a complex smooth quartic surface containing 56 lines, and investigate its reductions to positive characteristics. This surface is isomorphic to the complex Fermat quartic surface, which contains only 48 lines. We give the isomorphism explicitly.

引用

页码：279 / 297

页数：19

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