Kei Miura

collaborators

3 papers

math.AG2024

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

Kei Miura, Shingo Taki

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. Furthermor…

math.AG2023

Quartic surfaces with a Galois point and Eisenstein K3 surfaces

Kei Miura, Shingo Taki

We prove that there exists a one to one correspondence between smooth quartic surfaces with an inner Galois point and Eisenstein $K 3$ surfaces of type $(4, 3)$ . Furthermore we char…

math.AG2023

Extendable birational transformations belonging to Galois points

Kei Miura

We study birational transformations belonging to Galois points. Let $P$ be a Galois point for a plane curve $C$ and $G_{P}$ be a Galois group at $P$ . Then an element of $G_{P}$ induces…