Quartic surfaces with a Galois point and Eisenstein K3 surfaces

Abstract

We prove that there exists a one to one correspondence between smooth quartic surfaces with an inner Galois point and Eisenstein $K3$ surfaces of type $(4,3)$. Furthermore we characterize the quartic surface with 8 (the maximum number) inner Galois points as a singular $K3$ surface.

arXiv comment10 pages