Communications in Number Theory and Physics
Volume 5 (2011)
Modularity of Maschke’s octic and Calabi–Yau threefold
Pages: 827 – 847
We prove the modularity of Maschke’s octic and two Calabi–Yau threefolds derived from it as double octic and quotient thereof by a suitable Heisenberg group, as conjectured by Bini and van Geemen. The proofs rely on automorphisms of the varieties and isogenies of K3 surfaces.