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

2016/04/21 by Shimada, Ichiro, Shioda, Tetsuji
#14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1604.06265

Abstract

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.

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