Apéry-Fermi pencil of $K3$-surfaces and their $2$-isogenies

Marie José Bertin, Odile Lecacheux

Given a generic $K3$ surface $Y_k$ of the Apéry-Fermi pencil, we use the Kneser-Nishiyama technique to determine all its non isomorphic elliptic fibrations. These computations lead…