2023/05/15 by Clingher, Adrian, Malmendier, Andreas, Roulleau, Xavier
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2305.08959
We prove that every K3 surface with automorphism group (ℤ/2ℤ)2 admits an explicit birational model as a double sextic surface. This model is canonical for Picard number greater than 10. For Picard number greater than 9, the K3 surfaces in question possess a second birational model, in the form of a projective quartic hypersurface, generalizing the Inose quartic.