Elliptic and K3 fibrations on double octic Calabi–Yau threefolds
Volume 135 / 2025
Annales Polonici Mathematici 135 (2025), 105-120
MSC: Primary 14J32; Secondary 14D06
DOI: 10.4064/ap250114-9-9
Published online: 22 December 2025
Abstract
We study fibrations by elliptic curves and K3 surfaces of double octic Calabi–Yau threefolds determined by singular lines and points of multiplicity at least 4 of the defining octic arrangement. As a consequence we conclude that every double octic admits many elliptic and K3 fibrations. We apply descriptions of some K3 fibrations to construct a birational map between elements of two families of double octics.
