%0 Journal Article
%T Calabi-Yau Threefolds Fibred by Mirror Quartic K3 Surfaces
%A Charles F. Doran
%A Andrew Harder
%A Andrey Y. Novoseltsev
%A Alan Thompson
%J Mathematics
%D 2015
%I arXiv
%X We study threefolds fibred by mirror quartic K3 surfaces. We begin by showing that any family of such K3 surfaces is completely determined by a map from the base of the family to the moduli space of mirror quartic K3 surfaces. This is then used to give a complete explicit description of all Calabi-Yau threefolds fibred by mirror quartic K3 surfaces. We conclude by studying the properties of such Calabi-Yau threefolds, including their Hodge numbers, deformation theory, and candidate mirror partners.
%U http://arxiv.org/abs/1501.04019v1