On a smooth quartic surface containing 56 lines which is isomorphic as a K3 surface to the Fermat quartic
On a smooth quartic surface containing 56 lines which is isomorphic as a K3 surface to the Fermat quartic
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在包含 56 条线的光滑四次曲面上，该曲面与费马四次曲面同构为 K3 曲面
DOI：
10.1007/s00229-016-0886-3
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发表时间：
2016
影响因子：
0.6
通讯作者：
Tetsuji
中科院分区：
文献类型：
--
作者：
Shimada;Ichiro; Shioda;Tetsuji
给出了一个包含56条直线的复光滑四次曲面的定义方程，并研究了它的正特征线化约。该曲面同构于仅包含48条线的复费马四次曲面。我们明确地给出了同构。
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.