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

Key Points

• The research aims to demonstrate a correspondence between smooth quartic surfaces and K3 surfaces with specific automorphisms.
• Proving the existence of a one-to-one correspondence
• Characterizing quartic surfaces with multiple Galois points
• Analyzing geometrical properties of K3 surfaces
• Identified a correspondence between smooth quartic surfaces and K3 surfaces with order 4 automorphisms
• Characterized quartic surfaces with two or more outer Galois points as K3 surfaces