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arXiv · 2408.04137

Quartic surfaces with an outer Galois point and K3 surfaces with an automorphism of order 4

Kei Miura·Shingo Taki
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Abstract

We prove that there exists a one-to-one correspondence between smooth quartic surfaces with an outer Galois point and K3 surfaces with a certain automorphism of order 4. Furthermore, we characterize quartic surfaces with two or more outer Galois points as K3 surfaces.

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Kei Miura, Shingo Taki. 2024-08-08. Quartic surfaces with an outer Galois point and K3 surfaces with an automorphism of order 4. https://arxiv.org/abs/2408.04137

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