Elliptic and K3 fibrations on double octic Calabi-Yau threefolds
Algebraic Geometry
2025-04-16 v1
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.
Cite
@article{arxiv.2504.10759,
title = {Elliptic and K3 fibrations on double octic Calabi-Yau threefolds},
author = {Sławomir Cynk and Beata Kocel-Cynk},
journal= {arXiv preprint arXiv:2504.10759},
year = {2025}
}