4 research outputs found
Generalized Shioda-Inose structures on K3 surfaces
In this note, we study the action of finite groups of symplectic automorphisms on K3 surfaces which yield quotients birational to generalized Kummer surfaces. For each possible group, we determine the Picard number of the K3 surface admitting such an action and for singular K3 surfaces we show the uniqueness of the associated abelian surface
On degenerations of fiber spaces of curves of genus ≧ 2
In this note, we show that for surfaces admitting suitable fibrations, any given degeneration script x sign/Δ is bimeromorphic to a fiber space over a curve Y/Δ and we apply this result to the study of the degenerate fiber